A square of an isotropic metallic material having sides of 20 mm is subjected to
ID: 1843405 • Letter: A
Question
A square of an isotropic metallic material having sides of 20 mm is subjected to an elastic deformation. The displacements are such that an elongation of 0.0038mm is observed parallel to the X-axis and a contraction of 0.0026mm is observed parallel to the Y-axis. Additionally, you are given that alpha_x =613 times 10^6 radians and alpha_y =-36 times 10^-6 radians. Assume E = 200 GPa: G = 77 GPa, and v= 0.3. Neglect rigid body rotations. Are these strains elastic or plastic? Justify your answer. Calculate the normal and shear strains acting on the 20 times 20 mm square. Calculate the principal strains and the maximum shear strain resulting from the deformation. Calculate the applied stress state (sigma_ij) causing the deformation of the square.Explanation / Answer
Mos of materials used in enginering are metallic in nature.
materia; deormation can be permanent or temporary. permanent deformation is irreversible. i.e, stays even after removal of the applied forces, while the temporary deformation disappears after removal of the applied forces i.e, te deformation is recoverable. Bothkinds of deformations can be function of time, or independent of time.temporary deformation is called elastic deformation , while the permanent deformation is called plastic deformation . Time dependent recoverable deformation under load is called anelastic deformation. while the characteristic recovery of temporary deformation after removal of load as a function of time is called elastic after effect.
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