Developed a Relation between True and Engineering Stress – Strain for Compressibility
Description
Every material shows compressible characteristics under any types of loading and this characteristic expresses actual behavior of materials in reality. Strains and stresses are gradually changed in each loading step during tests because of variations of volumes. Volumetric true strains are non – zero in case of compressible conditions. In this study, poission’s ratio is considered to be constant in three perpendicular directions and stiffness is not changed during the application of tensile forces. In any stage of loading, true stress is the ratio between incremental load and area but engineering stress is the ratio between total load and initial area. Similarly, true strain is the ratio between incremental deflection and length in any stage of loading. On the other hand, engineering strain is the ratio between final deflection and initial length. Final deflection means additives of all stage deflections. True strain is the function of engineering strain which relates with the incremental lengths. Similarly, true stress is the function of engineering stress which relates with the incremental diameters. Proposed equations of true stress and strain have expressed compressible behaviors of materials.
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References
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