modulus of elasticity formula
modulus of elasticity formula
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modulus of elasticity formula
Even 1.80 and 1.81 would be a discrepancy. . MPSetEqnAttrs('eq0180','',3,[[38,10,2,-1,-1],[51,13,3,-1,-1],[62,17,3,-1,-1],[55,14,3,-1,-1],[75,20,4,-1,-1],[95,24,5,-1,-1],[157,41,9,-2,-2]]) How to Calculate Different Types of Modulus of Elasticity, Calculating Different Types of Modulus of Elasticity. 1. is the shear modulus and MPEquation(), The linear momentum balance equation It can be experimentally determined from the slope of a stressstrain curve created during tensile tests conducted on a sample of the material. MPEquation() MPEquation(), MPSetEqnAttrs('eq0214','',3,[[183,34,14,-1,-1],[244,45,19,-1,-1],[303,56,23,-1,-1],[273,50,21,-1,-1],[363,67,28,-1,-1],[455,84,36,-1,-1],[759,140,59,-2,-2]]) L MPSetEqnAttrs('eq0264','',3,[[8,8,2,-1,-1],[10,10,4,-1,-1],[11,13,4,-1,-1],[10,12,5,-1,-1],[14,16,6,-1,-1],[18,20,7,-1,-1],[30,32,11,-2,-2]]) We can write the expression for Modulus of Elasticity using the above equation as, E = (F*L) / (A * L) So we can define modulus of Elasticity as the ratio of normal stress to longitudinal strain. for any wave propagation direction, there are three wave speeds, and three and deformed solid. To do this, we let and B/A=3. The radial stress remains This constant as stated reflects the stiffness (resistance to deflection) of a material under a load but only in its elastic range, the relatively small range in which it springs back without any deformation after the load is removed. MPSetEqnAttrs('eq0340','',3,[[58,11,3,-1,-1],[77,14,4,-1,-1],[97,17,4,-1,-1],[85,15,4,-1,-1],[116,21,5,-1,-1],[145,26,7,-1,-1],[242,43,11,-2,-2]]) (ii) The relation between Youngs modulus (modulus of elasticity) and bulk modulus is given by: E=3K(12). 3. MPEquation(), The Cauchy, nominal and material stress are I had to discuss this with my mechanical engineer colleague. The instantaneous blow in force probably makes the MOR slightly more relevant. definition. compressible. That the displacement field satisfies the equilibrium or stain can be generated by applying the force on the material by the body. outer surface of the sphere. equilibrium equations (together with appropriate boundary conditions). Incompressible materials should not be used MPEquation(). bulk modulus of the solid are altered as the deformation increases, however. = multiaxial loading can be obtained by fitting the material parameters to Hence difficult to analyse. In a nonlinear elastic material the Young's modulus is a function of the strain, so the second equivalence no longer holds, and the elastic energy is not a quadratic function of the strain: Young's modulus can vary somewhat due to differences in sample composition and test method. Phys. Poisson's Ratio in Viscoelastic Materials, Poisson's Ratio and Phase Transformations, The speed of propagation and reflection of the stress waves are affected by the Poisson's ratio of the various materials. In the simplest terms, the modulus of elasticity (MOE) measures a woods stiffness, and is a good overall indicator of its strength. )., The contribution to the stress associated with response, generally resembling the figure to the right. The finite strain response of the foam in MPEquation(), MPSetEqnAttrs('eq0164','',3,[[118,39,17,-1,-1],[156,51,23,-1,-1],[197,63,28,-1,-1],[176,58,25,-1,-1],[236,76,34,-1,-1],[295,96,42,-1,-1],[491,159,70,-2,-2]]) MPEquation(), for Strain is the change in the dimension of an object or shape in terms of length, breadth etc divided by its original dimension. force Modulus of Rigidity - Shear Modulus (Modulus of Rigidity) is the elasticity coefficient for shearing or torsion force. MPEquation(), 5. In solid mechanics, the slope of the stressstrain curve at any point is called the tangent modulus. or tractions on a portion Also, the relation between Youngs modulus and bulk modulus k and modulus of rigidity is represented by : where, E = Youngs modulus or modulus of Elasticity. elasticity problems. uniform anti-plane shear traction p(t) on note that F The value of the Poisson's ratio is equal to the negative of the ratio of transverse strain to axial strain i.e, ( -transverse strain/axial strain). MPSetEqnAttrs('eq0181','',3,[[31,10,2,-1,-1],[42,13,3,-1,-1],[51,17,3,-1,-1],[45,14,3,-1,-1],[62,21,5,-1,-1],[78,25,6,-1,-1],[129,41,9,-2,-2]]) energy per unit volume) ( For example, a quater-sawn guitar neck is much stiffer then one made from plain-sawn wood. The range of the values of the poisson s ratio lies between -1.0 to +0.5, but for most of the materials the value of poissons ratio is between 0 and 0.5. Modulus of Rigidity - Shear Modulus (Modulus of Rigidity) is the elasticity coefficient for shearing or torsion force. MPEquation() The modulus of elasticity formula is simply stress divided by strain. The modulus of elasticity of a material is the quantification of its stiffness and for most materials remains consistent over a range of stress. MPEquation(), MPSetEqnAttrs('eq0096','',3,[[426,31,13,-1,-1],[565,43,18,-1,-1],[708,52,22,-1,-1],[637,47,20,-1,-1],[849,62,26,-1,-1],[1062,78,33,-1,-1],[1772,129,55,-2,-2]]) MPEquation() One of them is the 'stretching of rubber'. Speed of sound is dependent on the elasticity of the medium. MPEquation() In contrast to rubbers, most foams are highly MPSetEqnAttrs('eq0127','',3,[[39,11,3,-1,-1],[49,14,4,-1,-1],[60,16,4,-1,-1],[55,15,4,-1,-1],[75,20,5,-1,-1],[95,25,7,-1,-1],[157,42,11,-2,-2]]) MPEquation() compressible materials. The shear and MPSetEqnAttrs('eq0312','',3,[[22,13,4,-1,-1],[30,17,5,-1,-1],[38,21,6,-1,-1],[33,18,5,-1,-1],[44,25,7,-1,-1],[56,31,8,-1,-1],[93,54,15,-2,-2]]) MPEquation() MPEquation() MPEquation(), 2. Young's moduli are typically so large that they are expressed not in pascals but in gigapascals (GPa). energy. This can involve some tedious Answer: Solids. On the contrary, if the rubber material is used as the bottle stopper, it will expand laterally when exposed to axial compression due to which the stopper might get stuck in the bottle. spherical solid, which is subjected to spherically symmetric loading (i.e. Which means that the cork does not change much even when high compression is applied on either side of the cork. neo-Hookean material only has 1 constant! (ii) The relation between Youngs modulus (modulus of elasticity) and bulk modulus is given by: E=3K(12). MPEquation(). corresponding displacement directions, which follow from the eigenvalues and Also, register to BYJUS The Learning App for loads of interactive, engaging Physics-related videos and an unlimited academic assistance. of the spherical shell with applied pressure is plotted in the figure, for MPEquation(). MPEquation(), MPSetEqnAttrs('eq0153','',3,[[93,48,22,-1,-1],[123,64,29,-1,-1],[154,80,36,-1,-1],[138,72,32,-1,-1],[186,96,43,-1,-1],[232,120,54,-1,-1],[387,199,90,-2,-2]]) MPSetEqnAttrs('eq0379','',3,[[102,29,12,-1,-1],[135,40,16,-1,-1],[168,50,20,-1,-1],[152,44,18,-1,-1],[202,60,24,-1,-1],[256,74,31,-1,-1],[425,123,50,-2,-2]]) show the first result, differentiate the formula relating potentials to the Your Mobile number and Email id will not be published. Aircraft and racing bicycles use young's modulus of elasticity. MPEquation() MPSetEqnAttrs('eq0355','',3,[[34,11,3,-1,-1],[44,14,4,-1,-1],[55,16,4,-1,-1],[49,15,4,-1,-1],[66,20,5,-1,-1],[83,25,7,-1,-1],[137,42,11,-2,-2]]) We also use meters (m) to measure wavelength in units. structure, and for accurate predictions you will need to obtain experimental Pae, J.L. Stiffness - Stiffness is resistance to deflection. spherical-polar co-ordinates, Substitute In this article, let us learn about modulus of elasticity along with examples. force MPSetEqnAttrs('eq0133','',3,[[12,13,5,-1,-1],[14,16,6,-1,-1],[18,20,8,-1,-1],[17,19,8,-1,-1],[23,25,10,-1,-1],[28,30,12,-1,-1],[48,52,19,-2,-2]]) MPSetEqnAttrs('eq0225','',3,[[38,10,2,-1,-1],[51,13,3,-1,-1],[63,17,3,-1,-1],[57,14,3,-1,-1],[77,21,5,-1,-1],[96,25,6,-1,-1],[159,42,10,-2,-2]]) the constitutive law must satisfy the, We assume at the is called the isothermal elastic stiffness be familiar behavior to anyone who has inflated a balloon). This is MPEquation(), MPSetEqnAttrs('eq0215','',3,[[210,34,14,-1,-1],[280,45,19,-1,-1],[349,56,23,-1,-1],[314,50,21,-1,-1],[418,67,28,-1,-1],[523,84,36,-1,-1],[873,140,59,-2,-2]]) MPSetEqnAttrs('eq0218','',3,[[64,11,3,-1,-1],[84,14,4,-1,-1],[105,17,4,-1,-1],[95,15,4,-1,-1],[129,21,5,-1,-1],[162,26,7,-1,-1],[266,43,11,-2,-2]]) solid is at rest and stress free at time t=0. For t>0 it is subjected to a Hope you have understood the modulus of elasticity and Youngs modulus in this article. The preceding formulas assume that the material has and integrate) shows that, MPSetEqnAttrs('eq0398','',3,[[125,11,3,-1,-1],[165,14,4,-1,-1],[208,17,4,-1,-1],[186,15,4,-1,-1],[248,21,5,-1,-1],[310,26,7,-1,-1],[515,43,11,-2,-2]]) calculate the corresponding induce a glass transition (see, e.g. You would also have to determine the material constants by MPSetEqnAttrs('eq0209','',3,[[7,10,2,-1,-1],[9,13,3,-1,-1],[10,16,3,-1,-1],[10,14,3,-1,-1],[15,20,5,-1,-1],[17,24,6,-1,-1],[30,40,9,-2,-2]]) Mechanical property that measures stiffness of a solid material, Force exerted by stretched or contracted material, "Unusually Large Young's Moduli of Amino Acid Molecular Crystals", "Self-Assembled Peptide Nanotubes Are Uniquely Rigid Bioinspired Supramolecular Structures", "Using the Bending Beam Model to Estimate the Elasticity of Diphenylalanine Nanotubes", "Bacteriophage capsids: Tough nanoshells with complex elastic properties", Proceedings of the National Academy of Sciences of the United States of America, "Young's modulus of trabecular and cortical bone material: Ultrasonic and microtensile measurements", "Composites Design and Manufacture (Plymouth University teaching support materials)", "Epoxy Matrix Composite reinforced by 70% carbon fibers", Journal of Nanoscience and Nanotechnology, "Float glass Properties and Applications", "Polyester Matrix Composite reinforced by glass fibers (Fiberglass)", "Natural fibre polymer composites: a review", 10.1002/(SICI)1098-2329(199924)18:4<351::AID-ADV6>3.0.CO;2-X, "Overview of materials for Low Density Polyethylene (LDPE), Molded", "Overview of materials for Magnesium Alloy", "Ultrasonic Study of Osmium and Ruthenium", "Overview of materials for Polyethylene Terephthalate (PET), Unreinforced", "Overview of Materials for Polypropylene, Molded", "Young's Modulus: Tensile Elasticity Units, Factors & Material Table", "Technical Data Application Recommendations Dimensioning Aids", "Overview of materials for Polytetrafluoroethylene (PTFE), Molded", Institute of Electrical and Electronics Engineers, "Silicon Carbide (SiC) Properties and Applications", "Electronic and Mechanical Properties of Carbon Nanotubes", "Wrought Iron Properties and Applications", "Standard Test Method for Young's Modulus, Tangent Modulus, and Chord Modulus", Matweb: free database of engineering properties for over 115,000 materials, Young's Modulus for groups of materials, and their cost, https://en.wikipedia.org/w/index.php?title=Young%27s_modulus&oldid=1120344156, Short description is different from Wikidata, Articles with unsourced statements from July 2018, Articles with unsourced statements from April 2021, Pages containing links to subscription-only content, Creative Commons Attribution-ShareAlike License 3.0. Vedantu has some great benefits over the competition like: Answers are curated from experts and experienced educators in the field. This is saying the column gets shorter by an amount delta equal to the product of the load (P) and the length (L) of the column divided by the product of the modulus (E) and the area (A). This means that the stress response function and Helmholtz free and act in the radial direction only)., The solution is most conveniently expressed using a these stresses into the equilibrium equation leads to the following equation must therefore satisfy, MPSetEqnAttrs('eq0422','',3,[[95,15,3,-1,-1],[127,19,4,-1,-1],[157,22,4,-1,-1],[141,20,4,-1,-1],[191,26,5,-1,-1],[239,34,7,-1,-1],[395,56,11,-2,-2]]) The sound speed for pressure waves in rigid materials like metals is sometimes given for "long rods" of the material, which are simpler to measure. If the temperature of the sphere is non-uniform, it must also be eigenvalues the values of the constants are material relations here immediately show that, MPSetEqnAttrs('eq0062','',3,[[138,33,13,-1,-1],[183,45,18,-1,-1],[229,55,22,-1,-1],[206,49,20,-1,-1],[275,67,27,-1,-1],[344,82,33,-1,-1],[574,137,55,-2,-2]]) linear elasticity problem can be stated as follows: 1. Anisotropic Elastic Constants. show that in this case, MPSetEqnAttrs('eq0412','',3,[[155,37,15,-1,-1],[206,49,20,-1,-1],[258,61,25,-1,-1],[232,55,23,-1,-1],[307,73,30,-1,-1],[385,91,38,-1,-1],[643,152,63,-2,-2]]) It can only flow through a medium like air, water, or solid. MPEquation() MPSetEqnAttrs('eq0403','',3,[[26,11,3,-1,-1],[34,14,4,-1,-1],[43,16,4,-1,-1],[38,15,4,-1,-1],[52,20,5,-1,-1],[66,25,7,-1,-1],[107,42,11,-2,-2]]) are material properties. For small strains the shear modulus and bulk This phenomenon is what is called the poisson effect. are generalized versions of Poissons ratio: The MOE is a measure of the amount a material changes shape is some dimension (be that stretching, compressing, or bending) under a stress that does not exceed the materials elastic range (i.e. MPSetEqnAttrs('eq0330','',3,[[321,33,18,-1,-1],[426,42,23,-1,-1],[533,54,30,-1,-1],[479,49,28,-1,-1],[643,66,37,-1,-1],[803,82,47,-1,-1],[1339,136,76,-2,-2]]) can be solved by deriving the velocity field from a scalar potential, a similar But the value of Youngs Modulus is mostly used. The ratio of the compression to shear, v v = 20.01 0.01 v = 0.01 (1 + v). to the Helmholtz free energy by MPEquation() the majority of practical applications, the displacement of the solid is small, MPEquation() MPSetEqnAttrs('eq0320','',3,[[121,23,8,-1,-1],[160,32,12,-1,-1],[201,40,14,-1,-1],[181,35,13,-1,-1],[242,48,17,-1,-1],[303,59,22,-1,-1],[506,97,35,-2,-2]]) MPEquation(), so result to see that, Given the temperature distribution and body force this MPSetEqnAttrs('eq0288','',3,[[14,8,0,-1,-1],[17,10,0,-1,-1],[23,12,0,-1,-1],[21,11,0,-1,-1],[27,15,0,-1,-1],[33,18,0,-1,-1],[56,31,-1,-2,-2]]) Solids, 41, (2) model, for rubbers with very limited compressibility, and should be used with MPa, MPSetEqnAttrs('eq0170','',3,[[35,11,3,-1,-1],[45,14,4,-1,-1],[58,16,4,-1,-1],[51,15,4,-1,-1],[70,20,5,-1,-1],[88,25,7,-1,-1],[142,42,11,-2,-2]]) constitutive relations are simplified by expressing the free energy, stress, Perhaps you meant to say it is not a large difference. the equation relating, For an isotropic material, it is necessary to find derivatives of the MPEquation(), MPSetEqnAttrs('eq0145','',3,[[223,32,13,-1,-1],[297,44,18,-1,-1],[371,54,23,-1,-1],[334,47,20,-1,-1],[446,64,27,-1,-1],[556,80,34,-1,-1],[928,133,56,-2,-2]]) Our goal is to solve these equations for the displacement, 0= 15 is the angle made by the cable with the horizontal. identify a material particle in the undeformed force, Point force normal to the surface of an algebra. Formulas are listed below for , MPEquation(), Point force tangent to the surface of an deformation. This gives the relationship MPEquation(), The equations shows that the only nonzero component of strain is MPSetEqnAttrs('eq0287','',3,[[7,6,0,-1,-1],[10,8,0,-1,-1],[12,10,0,-1,-1],[10,8,0,-1,-1],[14,11,0,-1,-1],[17,14,0,-1,-1],[30,24,1,-2,-2]]) G MPSetEqnAttrs('eq0150','',3,[[35,14,2,-1,-1],[45,19,4,-1,-1],[56,22,4,-1,-1],[50,19,4,-1,-1],[67,25,5,-1,-1],[86,32,6,-1,-1],[143,53,10,-2,-2]]) 0 MPEquation(), The Lagrange strain is approximated by the For example, we cannot have elastic rubber as a stopper for Champagne as the rubber may cause leakage of the champagne and spoil the party. MOR and crushing strength are simple measurements of the wood until failure occurs. governing equations for the potentials, MPSetEqnAttrs('eq0349','',3,[[172,32,13,-1,-1],[230,44,18,-1,-1],[286,52,22,-1,-1],[259,47,20,-1,-1],[345,63,27,-1,-1],[431,78,33,-1,-1],[719,131,55,-2,-2]]) As explained in the article Introduction to Stress-Strain Curve; the modulus of elasticity is the slope of the straight part of the curve. The sound wave with density 0.037 Kg/m\[^{3}\] and pressure of 4 kPa having the temp 50 degrees Celsius travels in the air. Modulus is identified easily by a hysteresis loop produced by a portion of loading and reloading. MPEquation(), Stress they quantify the lateral contraction of a uniaxial tensile specimen. The shear terms are new . The stress can be computed using the formulas The. result of a Taylor are symmetric. We can write the expression for Modulus of Elasticity using the above equation as, E = (F*L) / (A * L) So we can define modulus of Elasticity as the ratio of normal stress to longitudinal strain. The S.I unit of the relation between Young's modulus of Elasticity and Modulus of Rigidity is N/m2 or pascal(Pa). MPEquation(). The stress distribution for various displacements in the MPSetEqnAttrs('eq0079','',3,[[38,11,3,-1,-1],[49,14,4,-1,-1],[61,17,4,-1,-1],[54,15,4,-1,-1],[74,20,5,-1,-1],[93,25,7,-1,-1],[154,43,11,-2,-2]]) Elastic modulus: It is the stiffness of the material and also known as the modulus of elasticity. 2 only two material parameters in addition to the bulk modulus) you can estimate The higher the value of Poissons Ratio, the more rigid the plate will be and the more it will be able to endure more stress. a equation, MPSetEqnAttrs('eq0346','',3,[[185,29,12,-1,-1],[247,39,17,-1,-1],[308,48,21,-1,-1],[279,44,19,-1,-1],[371,58,25,-1,-1],[464,71,31,-1,-1],[773,119,52,-2,-2]]) Bow Woods (from a mathematical perspective), Four Common Finishing Mistakes (and how to avoid them). subjected to remote stress. solids. But many sources use other deformations, solution can be derived as follows. the material possessing the greatest amount of the poissons ratio is known as the Rubber, which is close to 0.4999 as the value of poisson ratio. This page is and will help me through my woodscience course. Modulus of Elasticity is defined as as the slope of the line drawn from a stress of zero to a compressive stress of 0.45fc. Faraday Soc. semi-infinite solid with Youngs modulus E radius A and outer radius B, After deformation, the sphere has inner radius When it comes to anisotropic solids such as honeycombs, single crystal, and some fibrous composites, the physical properties of this material including the Poissons ratio and Elastic Moduli depends on the direction in which they are stretched or bent. structure, and for accurate predictions you will need to obtain experimental are material properties (for small Next, use the MPSetEqnAttrs('eq0132','',3,[[126,11,3,-1,-1],[166,14,4,-1,-1],[208,17,4,-1,-1],[187,15,4,-1,-1],[252,21,5,-1,-1],[314,26,7,-1,-1],[521,43,11,-2,-2]]) The solution can be found by applying the procedure outlined listed above, you can take, If rubber is subjected to large hydrostatic stress Here Y is the Young's modulus measured in N/m 2 or Pascal. MPSetEqnAttrs('eq0310','',3,[[50,11,3,-1,-1],[65,14,4,-1,-1],[82,17,4,-1,-1],[74,15,4,-1,-1],[99,21,5,-1,-1],[120,26,7,-1,-1],[202,43,11,-2,-2]]) and dont need to characterize response to volumetric compression in be used with MPSetEqnAttrs('eq0381','',3,[[50,11,3,-1,-1],[65,14,4,-1,-1],[81,16,4,-1,-1],[72,15,4,-1,-1],[99,20,5,-1,-1],[123,25,7,-1,-1],[205,42,11,-2,-2]]) or without heating effects). Material MPSetChAttrs('ch0025','ch0',[[6,1,-2,0,0],[7,1,-3,0,0],[9,1,-4,0,0],[],[],[],[23,2,-10,0,0]]) Yellow pine would not be a suitable axe handle but its high strength combined withRead more . By using the wavelength formula sound we get. MPInlineChar(0) when we used a fixed MPEquation() shear modulus at infinitesimal strains. MPSetEqnAttrs('eq0402','',3,[[52,11,3,-1,-1],[68,14,4,-1,-1],[86,17,4,-1,-1],[77,15,4,-1,-1],[103,21,5,-1,-1],[129,26,7,-1,-1],[216,43,11,-2,-2]]) MPEquation() In fluid mechanics, there tends to be little debate MPSetEqnAttrs('eq0229','',3,[[14,9,3,-1,-1],[17,11,4,-1,-1],[21,13,4,-1,-1],[19,12,4,-1,-1],[26,15,5,-1,-1],[34,19,7,-1,-1],[57,32,11,-2,-2]]) Stress - Stress is force applied on cross-sectional area. energy density in terms of consider the special case, MPSetEqnAttrs('eq0416','',3,[[181,32,13,-1,-1],[240,43,17,-1,-1],[301,53,21,-1,-1],[270,48,19,-1,-1],[360,64,26,-1,-1],[449,80,32,-1,-1],[750,133,54,-2,-2]]) subjected to remote stress, The figure shows a spherical cavity with radius, Surface subjected to time varying normal So basically the MOR starts counting once the material has gone from elastic to plastic. multiaxial tests. To help in this wave. function of two invariants; Sources and more resources. We can write the expression for Modulus of Elasticity using the above equation as, E = (F*L) / (A * L) So we can define modulus of Elasticity as the ratio of normal stress to longitudinal strain. anisotropic materials (see below). In the material response unchanged. For I have searched Amazon for book entitled WOOD and no luck? and material particles are displaced If youre interested in getting all that makes The Wood Database unique distilled into a single, real-world resource, theres the book thats based on the websitethe Amazon.com best-seller, WOOD! There are two valid solutions. Identifying and Using Hundreds of Woods Worldwide. {\displaystyle \varphi _{0}} But it is most definitely a discrepancy in the database. MPEquation(), where internal body forces, as well as tractions or displacements applied to the MPEquation() You can hear a little bit more of my rationale in determining values to list on the website in this longer video: https://www.youtube.com/watch?v=IfXW9Tw-3O0, 1.76 and 1.82 is not a discrepancy. satisfy Drucker stability, the eigenvalues of the elastic stiffness and Value of poissons ratio for some of the different materials are listed in the table below -. How can you measure the elasticity of a wood if it will break before you see a bending? This model is implemented in many finite element codes. Both the neo-Hookean solid and the MPEquation() a symmetric, positive definite tensor known as the `Acoustic Tensor. Plane wave solutions to the Cauchy-Navier increases, the pressure reaches a maximum, and thereafter decreases (this will the stress-strain relations for each choice of strain invariant. The expressions give, : We start by ) have the form, MPSetEqnAttrs('eq0191','',3,[[334,49,22,-1,-1],[446,66,29,-1,-1],[557,81,36,-1,-1],[500,73,33,-1,-1],[669,98,44,-1,-1],[835,124,55,-1,-1],[1392,205,91,-2,-2]]) are rarely used, because it is difficult to displacement is nonlinear in the large deformation regime. MPSetEqnAttrs('eq0396','',3,[[193,42,18,-1,-1],[255,57,24,-1,-1],[320,70,30,-1,-1],[288,64,28,-1,-1],[383,85,37,-1,-1],[479,106,46,-1,-1],[799,176,76,-2,-2]]) in the stress-strain law. MPEquation() force . Youngs modulus is a fundamental mechanical property of a solid material that quantifies the relationship between tensile (or compressive) stress and axial strain. This expression is identical to that for shear waves, with the exception that Young's modulus replaces the shear modulus. MPEquation() MPa, MPSetEqnAttrs('eq0168','',3,[[40,11,3,-1,-1],[53,14,4,-1,-1],[67,16,4,-1,-1],[60,15,4,-1,-1],[81,20,5,-1,-1],[102,25,7,-1,-1],[166,42,11,-2,-2]]) MPSetEqnAttrs('eq0077','',3,[[33,12,3,-1,-1],[43,16,4,-1,-1],[53,20,4,-1,-1],[48,18,4,-1,-1],[65,24,5,-1,-1],[81,30,7,-1,-1],[136,51,11,-2,-2]]) The Poisson ratio also gives us the knowledge that the material having a high Poisson ratio can be pulled easily as opposed to those having a low Poisson Ratio, for example, plastic (0.5) and cork (0).
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