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"Apparent" Young's elastic modulus and radial recovery for some tableted pharmaceutical excipients.

The effects of compact size and of powder particle size on the determination of "apparent" compressive Young's modulus of elasticity, E, were evaluated, for three pharmaceutical excipients (Microcrystalline cellulose, MCC, Calcium hydrogen phosphate dihydrate, CHPD, and pregelatinized starch, PGS) differing in deformational behaviour during compression. One- and two-compact (composite) specimens were employed and the equations of Spriggs [J. Am. Ceram. Soc. 44 (1961) 628] and Phani & Niyogi [J. Mater. Sci. 22 (1987) 257] were employed for prediction of E, at zero and 0.15 porosity (E(0) and E(0.15)). It was found that E(0) and E(0.15) are affected by the particle size, in the case of PGS, but by the compact size and assembly in the case of MCC and CHPD. Reduction in E(0) and E(0.15) values for two-compact assembly corresponded to large and medium compact size only of MCC and CHPD, while specimen assembly was not affecting significantly the experimental data if small compacts of MCC and CHPD or any size compacts of PGS were used. The exponent f of the Phani and Niyogi equation has been considered as parameter of pore structure and particle morphology. It was significantly affected by the compact size of all the excipients, by the two-compact assembly of MCC and CHPD and by the particle size of CHPD and PGS. Absence of significant particle size effect on the parameter f, for the case of MCC is attributed to the elongated particle shape, while the highly significant one for the case of PGS is explained by the extensive elasto-plastic deformation during compression, which is greatly dependent on the grain size. Values of the % radial elastic recovery (%RR), at porosity 0 and 0.15, were determined and correlation of the experimental data was attempted to Young's modulus (E). A simple linear equation is proposed for prediction of Young's modulus, E, from %RR, at least in the porosity range between 0.1 and 0.3 (representative of commercial pharmaceutical tablets), but use of %RR instead to E is applicable only under many limitations.

Calcium Phosphates↗

Elastic modulus of a triple-stranded stainless steel arch wire via three- and four-point bending.

The modulus of elasticity (E) was determined in simple three- and four-point bending for an 0.0175" (3 X 0.008") stainless steel arch wire. Using variable light loads (10-160 g) to limit the elastic deflection of a wire to less than 5% of its beam length, the force-deflection profiles were determined for three nominal span lengths (L = 0.35", 0.75", and 1.00") in three-point bending and three nominal inner span lengths (L2 = 0.17", 0.40", and 0.50") in four-point bending (single outer span length, L = 1.00"). By assuming that each wire could be considered as a bundle of frictionless, tightly wound helical springs (i.e., strands), in which both the Young's modulus (E) and the shear modulus (G) contribute to the overall stiffness, values for E equaled 28.6 +/- 0.6 X 10(6) and 29.6 +/- 0.9 X 10(6) psi in three- and four-point bending, respectively. In addition, by using simple beam theory, the values of E for the 0.010" and 0.018" single-stranded wires were measured and equaled 27.2 +/- 0.3 X 10(6) and 27.8 +/- 0.7 X 10(6) psi in three-point bending, and 27.9 +/- 0.7 and 27.8 +/- 1.2 X 10(6) psi in four-point bending, respectively. Despite the fact that the elastic moduli of all three wires were significantly different (p less than 0.001), the results corroborated the metallurgical literature in which E spanned 27.8-30.2 X 10(6) psi. This was in contrast to the dental literature, in which a broader range of values has been reported, i.e., 18.3-38.0 X 10(6) psi.

Elasticity↗

Measurement of the elastic modulus of rabbit nasal septal cartilage during Nd:YAG (lambda = 1.32 microm) laser irradiation.

BACKGROUND AND OBJECTIVES: The objective of this study was to quantitatively measure changes in the elastic moduli of rabbit nasal septal cartilage during laser heating. While the efficacy of laser cartilage reshaping has been established for use in nasal surgery, few studies have investigated the temperature-dependent viscoelastic behavior of cartilage. STUDY DESIGN/MATERIALS AND METHODS: Cyclic force versus displacement curves were generated during the Nd:YAG laser (lambda = 1.32 microm, 10 second exposure time, 21.22 W/cm2) irradiation of cartilage specimens secured in cantilevered geometry. Samples were irradiated three times with 30 second cooling intervals between each laser exposure. Measurements were recorded before, during, and after laser irradiation, and then following complete rehydration in normal saline (NS) for 1 hour at 25 degrees C. Elastic modulus was calculated assuming linear viscoelastic behavior. RESULTS: The elastic modulus in native tissue decreased during and after successive laser exposures from about 6 to 3.5 MPa. After rehydration, the modulus returned to near-baseline value. Surface temperature reached a maximum of 65 degrees C. CONCLUSIONS: The laser irradiation of cartilage using parameters similar to those used in reshaping does not produce significant irreversible changes in the mechanical properties of the tissue. Measurement of the elastic modulus is an effective means of characterizing alterations in cartilage mechanical behavior during and after laser heating.

Animals↗

Ultrasonic determination of the elastic modulus of human cortical bone.

The elastic modulus (Cii) of the cortical bones of 19 individuals (14 femurs and 16 tibias, fixed in formalin) was determined ultrasonically. Elastic moduli were measured at four anatomical positions (anterior, posterior, medial and lateral) and in all three planes of orientation (transverse, longitudinal and radial). The mean tibial Cii (34.11 GPa) was greater than that obtained for femurs (32.52 GPa). The tibial longitudinal plane Cii (34.1 GPa) was significantly greater than the femoral longitudinal plane Cii (32.5 GPa). Cii was significantly higher in the tibia than the femur in both the medial and posterior anatomical positions. The anterior tibia had a significantly lower C11 compared to other positions. Cii was significantly higher in the longitudinal plane than the transverse or radial planes in both the femur and the tibia. There was no consistent difference in modulus between left and right sides. No age effects were observed. There were no significant differences between males and females, or between African Americans and European Americans.

Age Factors↗

Elastic modulus measurements from individual lactose particles using atomic force microscopy.

The elastic modulus of pharmaceutical materials affects a number of pharmaceutical processes and subsequently formulation performance and is currently assessed by bulk methods, such as beam bending of compacts. Here we demonstrate the accurate measurement of the elastic modulus of alpha monohydrate lactose from the dominant (011) face of single crystals using atomic force microscopy (AFM) as 3.45+/-0.90GPa. The criteria to ensure this data is recorded within the elastic limit and can be modelled using Hertzian theory are established. We compare and contrast this AFM method to a permanent indentation technique based upon a much larger Berkovich pyramidal indenter on a lactose compact and the wider literature. Finally the AFM was utilized to study the elastic response of amorphous lactose, demonstrating that the physical state of the amorphous material changes under repeated loading and behaves in a more crystalline manner under repeated force measurements, suggesting a pressure induced phase transition. The AFM based approach demonstrated has the significant advantages of requiring minimal sample, no need for producing a compact, being non-destructive in that no permanent indent is required and providing a technique capable of detecting variations in material properties across a single particle or a number of particles.

Chemistry, Pharmaceutical↗

The elastic modulus of canine aortic valve leaflets in vivo and in vitro.

Aortic valve leaflets undergo extraordinary flexion due to the complete reversal of their curvature during billions of cardiac cycles. The flexion stresses in the leaflet depend on its elastic modulus which we investigated in vivo and in vitro. In six dogs, we placed radiopaque markers on an aortic leaflet. Leaflet length was calculated from the marker positions recorded fluoroscopically. Aortic and ventricular pressures were recorded. Dogs were killed and leaflet stress-strain curves determined in vitro. Leaflet length in vivo decreased 10.4 +/- 4.7% from diastole to systole in each cardiac cycle. Using the law of LaPlace, pressure gradients across the leaflets were converted into the stresses in the leaflets. The leaflets had an initial "elastic phase" of low modulus in systole followed by an "inelastic phase" of high modulus in diastole. The elastic modulus was 2.4 +/- 0.7 x 10(6) dynes/cm2 in systole and 5.2 +/- 1.7 x 10(7) dynes/cm2 in diastole. These results were similar to those obtained in vitro. Since flexion rigidity is proportional to (elastic modulus) x (thickness)3, the lower modulus in systole greatly reduces flexion stresses in the leaflet and increases leaflet longevity. The higher elastic modulus in diastole prevents excessive bulging or prolapse of the leaflet while it is subjected to the diastolic pressure gradient. We conclude that a natural or prosthetic leaflet which is thickened or has a high elastic modulus throughout the cardiac cycle will have a greater flexion stress that could cause early failure.

Animals↗

Fibrin structure and concentration alter clot elastic modulus but do not alter platelet mediated force development.

During clot retraction, platelets interact with fibrin resulting in marked reduction of clot volume. Altered fibrin structure has been reported to affect clot retraction as measured by serum expression. This study was performed to test whether such altered retraction was the result of increased resistance to network collapse or due to decreased force development by platelets. Altered fibrin structure was documented as variation of fibre mass/length ratios (mu) and shifts in clot elastic modulus. The force developed by platelets during clotting was measured directly. Increasing the fibrinogen concentration led to thinner fibre formation (decreased mu), and a linear increase in gel elastic modulus. Over a fibrinogen concentration range of 100 to 400 mg/dl, force development was minimally affected. Force development and clot elastic modulus increased in a linear fashion with increasing platelet concentration. Increasing the calcium concentration from 5 to 20 mM caused a 160% increase in fibrin fibre size (mu), and a 52% decline in clot modulus. Force developed at 1200 s declined by 17%. At 15 mg/ml, dextran and hydroxyethyl starch (HES) also increased mu, and decreased clot modulus; however, both agents markedly reduced force development. Increasing ionic strength or the addition of IgG decreased mu and increased gel elastic modulus. Force development increased modestly with increased ionic strength, did not change with addition of IgG in saline and declined with addition of IgG in maltose. This study indicates that force development is primarily dependent on platelet function while clot modulus depends on both fibrin structure and platelet function.(ABSTRACT TRUNCATED AT 250 WORDS)

Blood Coagulation↗

[Durability of commercial composite resin. Chronological change in transverse strength and transverse elastic modulus of composite resin immersed in MeOH].

The durability of visible light-cured composite resin was examined. Five kinds of commercial redox type composite resin and 7 kinds of visible light-cured composite resin were used and their base monomers were analyzed by HPLC. After the set products were immersed in MeOH, transverse strength and transverse elastic modulus were measured. Furthermore, the MeOH sorption, solubility in MeOH and main soluble component were examined. The main component of the base monomer in all 5 kinds of redox type was Bis-GMA. Seven kinds of visible light-cured composite resin consisted of 4 kinds of Bis-GMA (including BMPEPP) and 3 kinds of UDMA. Both cases of redox type and visible light-cured type of composite resin, when they were immersed in MeOH, transverse strength and transverse elastic modulus decreased. In the case of redox type (Clearfil posterior new bond), the decrease of transverse strength and transverse elastic modulus was small, that is, its base monomer was Bis-GMA, and large quantities of hybrid type filler were mixed. In the case of redox type, transverse strength and transverse elastic modulus showed a tendency to decrease with the increase of MeOH sorption. Solubility of 12 kinds of these composite resins was 0.25-4.78% and its main component in Pyrofil light bond A was BMPEPP, the residual were coincident with the main component of base monomer.

Absorption↗

Physical properties of root cementum: Part 3. Hardness and elastic modulus after application of light and heavy forces.

BACKGROUND: The aims of this investigation were to evaluate the hardness and elastic modulus of untreated human premolar cementum and to investigate the changes after application of light and heavy orthodontic forces. METHODS: Thirty-six maxillary and mandibular first premolars were collected from 16 prospective orthodontic patients. The patients were assigned to 1 of 2 groups. Group I (light force) consisted of 8 subjects (4 male, 4 female, mean age 14.8 years) who had 25 g of buccally directed orthodontic force applied to the first premolars on 1 side. Group II (heavy force) consisted of 9 subjects (7 male, 2 female, mean age 13.8 years) who had 225 g of buccally directed orthodontic force applied to first premolars on 1 side. Contralateral premolars served as the control in both groups. The force was applied for 4 weeks; then each first premolar was extracted and stored in deionized water. Physical properties were tested on unprepared cementum on buccal and lingual surfaces at the cervical, middle, and apical thirds with an ultra-micro-indentation system. RESULTS: Mean (+/- standard deviation) hardness of the untreated cementum at the cervical, middle, and apical thirds, respectively, was 0.25 +/- 0.09 GPa, 0.24 +/- 0.07 GPa, and 0.18 +/- 0.06 GPa on the buccal surface and 0.24 +/- 0.08 GPa, 0.24 +/- 0.06 GPa, and 0.21 +/- 0.06 GPa on the lingual surface. Mean elastic modulus at the cervical, middle, and apical thirds, respectively, was 4.4 +/- 2.4 GPa, 3.4 +/- 2.0 GPa, and 2.4 +/- 1.8GPa on the buccal surface and 3.8 +/- 2.1 GPa, 3.2 +/- 1.4 GPa, and 2.4 +/- 1.5 GPa on the lingual surface. CONCLUSIONS: The mean hardness and elastic modulus of untreated human premolar cementum gradually decreased from cervical to apical regions of the buccal and lingual surfaces. A similar decrease was observed in the experimental teeth of light-force and heavy-force groups. There were no statistically significant differences between the control and experimental teeth; this is probably due to large intraindividual variation.

Adolescent↗

Three approaches for estimating the elastic modulus of the tympanic membrane.

The function of the middle ear is to resolve the acoustic impedance mismatch between the air in the ear canal and the fluid of the inner ear. Without this impedance matching, very little acoustic energy would be absorbed into the cochlea. The first step in this process is the tympanic membrane (TM) converting sound in the ear canal into vibrations of the middle ear bones. Understanding how the TM manages its task so successfully over such a broad frequency range should lead to more satisfactory and less variable TM repairs (myringoplasty). In addition, understanding the mechanics of the TM is necessary to improve the coupling between ossicular prostheses and the TM. Mathematical models have played a central role in helping the research community understand the mechanics of the eardrum. However, all models require parameters as inputs. Unfortunately, most of the parameters needed for modeling the TM are not well known. In this work, several approaches for inferring the material properties of the TM are explored. First, constitutive modeling is used to estimate an elastic modulus based on the elastic modulus of collagen and experimentally observed fiber densities. Second, experimental tension and bending test results from the literature are re-interpreted using composite laminate theory. Lastly, dynamic measurements of the cat TM are used in conjunction with a composite shell model to bound the material parameters. Values from the literature, both measurement and modeling efforts, and from the present analysis are brought together to form a coherent picture of the TM's material properties. In the human, the data bound the elastic modulus between 0.1 and 0.3 GPa. In the cat, the data suggest a range of 0.1-0.4 GPa. These values are significantly higher than previous estimates.

Animals↗

Determination of aortic elastic modulus by pulse wave velocity and wall tracking in a rat model of aortic stiffness.

Several methods have been used to evaluate the elastic modulus of the aortic wall in the rat, but these have never been compared when used simultaneously. We measured thoracoabdominal pulse wave velocity (PWV) and changes in thoracic aorta diameter during the cardiac cycle (with wall echo-tracking) in pentobarbital-anesthetized adult male Wistar rats; half of the group had previously received vitamin D3 plus nicotine (VDN) in order to increase the stiffness of the aortic wall. The Moens-Korteweg elastic modulus (E(MK)) was calculated from PWV and the ratio of the internal diameter to the medial thickness determined by histomorphometry following in situ pressurized fixation. The incremental elastic modulus (E(inc)) was calculated from the distensibility coefficient and end-diastolic diameter measured by wall echo-tracking and the medial thickness determined by histomorphometry. Both values were higher in VDN rats than in controls: E(inc) 8.9 +/- 0.5 and 5.7 +/- 0.4.10(6) dyne/cm(2), p < 0.05; E(MK) 7.6 +/- 0.5 and 4.1 +/- 0.5.10(6) dyne/cm(2), p < 0.05. E(inc) was greater than E(MK) and this was partially due to the fact that the in vivo end-diastolic diameter measured by ultrasound was greater than the mean aortic diameter measured ex vivo by histomorphometry. In conclusion, different methods for the measurement of the elastic properties of the aortic wall gave similar results in controls and in a rat model of aortic stiffness.

Animals↗

Elastic modulus and stress relationships in stretched and shortened frog sartorii.

The longitudinal dynamic elastic modulus (delta stress/delta strain) of 11 sartorius muscles (Rana pipiens; 3 degrees C) was measured at static strains, 0.57 less than L/Lo less than 1.53. Pseudorandom white-noise displacements less than +/-0.031% Lo (mean, peak to peak) were imposed on tetanically stimulated and resting muscles to obtain the isometric moduli. The active elastic modulus at each length was determined as the difference between the low-frequency (15-80 Hz) asymptotes of the tetanic and resting modulus functions. Resting moduli were found to increase with stretch at a declining rate, suggesting that some resting elasticity is attributable to active crossbridges. For isometric, tetanically stimulated muscles above L/Lo = 1.0, the ratio dynamic elastic modulus/active stress was nearly constant (65.4); the data predict zero modulus at a stretched length corresponding to zero active stress. Hence, the modulus per crossbridge exhibits sarcomere length invariance. On the other hand, active muscles below L/Lo = 0.77 manifest a significant (P less than or equal to 0.05) additional modulus beyond that found at the same active stress in the stretched muscle. Sarcomeric structural rearrangements are suggested as a possible source of this additional modulus.

Animals↗

Strength and elastic modulus of fiber-reinforced composites used for fabricating FPDs.

PURPOSE: The purpose of this study was to examine the flexural strength and elastic modulus of a new fiber-reinforced composite used for the fabrication of inlay-retained fixed partial dentures (FPD). MATERIALS AND METHODS: A total of six materials were used: Vectris, FibreKor, and an experimental material, BR-100, were the types of glass fiber preimpregnated with resin used for making the frameworks; Targis, Sculpture, and Estenia were used as the veneering composites. Five specimens of each material were prepared. Flexural strength and elastic modulus were determined using the three-point bending test. In addition, laminate specimens were fabricated by combination of the veneering composite and framework materials (Targis/Vectris, Sculpture/FibreKor, and Estenia/BR-100), and fracture loads of these specimens were determined. Laminate specimens were fabricated with three different framework thicknesses for Estenia/BR-100. RESULTS: Estenia had the greatest strength and highest modulus of elasticity of the veneering composites. All three framework materials had flexural strength values (567 to 686 MPa) more than three times as great as those of the veneering composites (132 to 193 MPa). Of the laminate specimens, the Estenia/BR-100 with a framework thickness of 1.0 mm had a fracture load more than 50% greater than Targis/Vectris and Sculpture/FibreKor. CONCLUSION: The combination of the experimental framework material BR-100 and the composite Estenia showed higher fracture loads than the other combinations tested.

Composite Resins↗

Pressure dependence of the carotid sinus elastic modulus in the dog.

The effect of the mean intrasinusal pressure upon the dynamic elastic modulus of the carotid sinus was examined in seven dogs. In all dogs the carotid sinus elastic modulus was a direct function of the mean intrasinusal pressure, measured at the lingual artery. The carotid sinus thus appears to become progressively stiffer with increasing pressure with a consequent reduction in oscillatory strain. This reduction of oscillatory stimulation of the carotid sinus mechanoreceptors acts so as to limit the maximum gain of the carotid sinus reflex to the region of the closed loop operating pressure.

Animals↗

The elastic modulus of conductance coronary arteries from spontaneously hypertensive rats is increased.

OBJECTIVE: To assess the alterations of morphological and functional properties of conductance coronary and mesenteric resistance arteries in spontaneously hypertensive rats (SHR). DESIGN: The in-vitro intrinsic elastic properties of the wall material in SHR coronary arteries were determined in comparison with those of Wistar-Kyoto (WKY) rats. Mesenteric resistance arteries from rats of both strains were also studied. METHODS: Arterial segments were cannulated at both ends using an arteriograph system and subjected to pressure increments with simultaneous measurements of the wall thickness and internal diameter. The strain, stress and incremental elastic modulus (Einc) were calculated from diameter-pressure curves. RESULTS: Over the full range of pressures tested (10-160 mmHg), the internal diameters of SHR coronary arteries were not significantly different from those of WKY rat arteries, whereas we observed that SHR mesenteric resistance arteries had a significantly smaller diameter. The stress-strain curve for coronary arteries was shifted significantly to the left-hand side for the SHR group indicating more stress per unit strain, whereas the opposite was found for mesenteric resistance arteries. When Einc was determined under isobaric conditions, we found no difference between SHR and WKY rat coronary arteries, whereas this parameter was decreased significantly for SHR mesenteric resistance arteries. When Einc was estimated at the respective operating pressures, it was 1.7- to 2.8-fold greater for SHR than it was for WKY rat mesenteric resistance and coronary arteries. Moreover, the total collagen area: lumen area ratio was significantly greater for the SHR than it was for the WKY rat coronary artery wall, but this ratio was similar for mesenteric preparations from the two strains. CONCLUSION: These results show that, at a given stress or operating pressure level, the material of SHR coronary artery wall is characterized by an increase in Einc, whereas there is no increase in Einc for in mesenteric resistance arteries. This functional alteration is accompanied by an increase in the relative proportion of collagen, a component with a high elastic modulus, in the wall. In contrast, we found no change in elastic modulus and in the relative proportion of collagen for the SHR mesenteric resistance arteries. Furthermore, the present results support the hypothesis that alterations in distensibility differ among the components of the SHR vasculature.

Animals↗

Elastic modulus and stress-strain response of human enamel by nano-indentation.

Nano-indentation with a sharp (Berkovich) and two spherical indenters with nominal tip radii of 5 and 20 microm was used to determine the elastic modulus and stress-strain response of human enamel. Indentation tests were made over a wide range of peak loads from 1 to 450 mN in two orthogonal directions, i.e., parallel and perpendicular to enamel prisms. The elastic modulus and hardness (mean contact pressure) versus depth of penetration were determined for the three indenters. From the spherical indentation data, stress-strain curves (H-tantheta curve) of enamel were determined in the two orthogonal directions and were found to be different. The elastic modulus showed load dependence for both orientations of the enamel rod structure that depended on the indenter. However, these differences could be normalized upon considering the contact diameter. The indented sample was imaged with an SEM to investigate the near surface damage. In conclusion, prism-sheath structure played an important role in determining the mechanical properties as well as the localized fracture of enamel.

Dental Enamel↗

Estimation of complex arterial elastic modulus from ring resonance excited by ultrasound radiation force.

Pulse wave velocity (PWV) is widely used for estimating the stiffness of an artery. PWV is an average measurement of artery stiffness between two measuring sites. From measured PWV, the diameter and thickness are needed to calculate the elastic modulus of the artery. In this paper a new method of using ring resonant mode for estimation of arterial elastic modulus is proposed. To generate the ring resonance, a localized radiation force of ultrasound is remotely and non-invasively applied at the artery. The vibration response of the artery is measured by optical techniques. Three ring resonant modes are identified for estimation of the elastic modulus. The viscoelasticity and the complex modulus of the artery can be obtained. Experiments were carried out on a porcine artery embedded in gelatin. The estimation only requires the diameter of the artery, but does not need the thickness of the artery which is difficult to measure with accuracy and precision.

Algorithms↗

Determination of the elastic modulus of resin based materials as a function of resonance frequency during polymerisation.

OBJECTIVES: The aim of this investigation is to describe the development of a novel non-invasive technique to measure the change in the elastic modulus of resin based restorative materials during polymerisation using resonance frequency analysis. METHODS: A transducer was developed which was designed to resonate at its first natural frequency in the range 5-15 kHz. The transducer was excited electronically and the response measured using a frequency response analyser. The transducer was mounted in a specimen well containing a range of test materials including unfilled resins, composites and luting cements. Each test material was polymerised by mixing and/or exposure to a visible light source and the frequency response measured at intervals during the curing process. The resonance frequency was determined at each interval by the measurement of the signal amplitude and phase. RESULTS: The resonance frequency of the transducer-resin system was plotted against time for the different material and curing combinations. Different sampling intervals were selected depending on the test procedure. All results showed a clear increase in resonance frequency as a function of the increase in stiffness and elastic modulus of the material during polymerisation. SIGNIFICANCE: A new non-invasive test method is described which can measure the increase in the elastic modulus of resin based materials as a function of resonance frequency. The technique is not sensitive to temperature, exhibits no drift and does not influence the polymerisation of the test material. Further development should enable resonance frequency measurements to be directly related to elastic material coefficients.

Composite Resins↗