Linear elasticity, generalized hookes law and stressstrain relations for. Youngs modulus and poissons ratio from the truss and strain laboratories you are now familiar with at least two elastic constants. Me gate som strainstrain relationship, elastic constants. When an elastic body is subjected to stress, a proportionate amount of strain is produced. The axial strain will be tensile for a tensile applied stress. Stressstrain relations in the function of watercement and cementsand ratios are elaborated.
Stressstrain relationships for a variety of material property symmetry conditions are found in refs. For any state of stress, we can find a set of planes on which. Stress strain relationships tensile testing one basic ingredient in the study of the mechanics of deformable bodies is the resistive properties of materials. The constant of proportionality is called the elastic modulus or youngs modulus. One of the simplest tests for determining mechanical properties of a material is the. The relationship between stress and strain in this region is given by equation. Strength of materials stressstrain relationship and elastic constant online test.
A linear elastic material is one in which the strain is. The constant of proportionality here is the shear modulus. Pdf stress strain relations sagittarius aa academia. Pdf an overview of stressstrain analysis for elasticity equations. Strain relationship an overview sciencedirect topics. The solid is then characterised by an elastic modulus that relates strain to stress. Different elastic constants and their relationships the constructor. You can view result with detail solution of each question after completion of the test questions is taken from previous year papers. Module 3 constitutive equations learning objectives understand basic stressstrain response of engineering materials. A relationship between the elastic modulus and the compressive strength of twostage concrete is.
Different elastic constants and their relationships. Stressstrain relationship an overview sciencedirect topics. Investigations by venkatarama reddy and jagadish 1989, venkatarama reddy and gupta 2005b, venkatarama reddy et al. Elastic constants study notes for mechanical engineering. Stress produces a strain, but how much strain is produced depends on the solid itself. Different types of stresses and their corresponding strains within elastic limit are related which are referred to as elastic constants. These properties relate the stresses to the strains and can only be determined by experiment. Comprehensive studies on the stressstrain relationships and elastic properties of ssbs are limited. Stress nine quantities are required to define the state of stress at a point. A summary of the number of independent elastic constants. The distortion of the cube, is represented by the dotted lines. Derive the relationship between the elastic constants, i.
Different elastic constants and their relationships when an elastic body is subjected to stress, a proportionate amount of strain is produced. Consider a solid cube, subjected to a shear stress on the faces pq and rs and complimentary shear stress on faces qr and ps. The ratio of the applied stresses to the strains generated will always be constant and is known as elastic constant. Quantify the linear elastic stressstrain response in terms of tensorial quantities and in particular the fourthorder elasticity or sti ness tensor describing hookes law.1611 676 9 368 966 1672 521 1373 1356 991 51 1377 527 658 142 758 695 1437 599 1671 1560 605 1533 1328 835 242 1078 829 215 893 1252 20 91 190