Mechanics of Solids and Materials
Mechanics of Solids and Materials intends to provide a modern and integrated treatment of the foundations of solid mechanics as applied to the mathematical description of material behavior. The 2006 book blends both innovative (large strain, strain rate, temperature, time dependent deformation and localized plastic deformation in crystalline solids, deformation of biological networks) and traditional (elastic theory of torsion, elastic beam and plate theories, contact mechanics) topics in a coherent theoretical framework. The extensive use of transform methods to generate solutions makes the book also of interest to structural, mechanical, and aerospace engineers. Plasticity theories, micromechanics, crystal plasticity, energetics of elastic systems, as well as an overall review of math and thermodynamics are also covered in the book.
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Anisotropic arbitrary array Asaro assumed axis biharmonic equation body forces boundary conditions Burgers vector configuration Consider constant Continuum corresponding couple-stress crack tip crystal defined deformation gradient deformation tensor Derive detF deviatoric differentiation direction displacement field divergence theorem edge dislocation elastic moduli entropy equilibrium equation expression Figure follows Fourier gives grain hardening inclusion incompressible increment integral interface isotropic Kinematics lattice Linear Elasticity loading material matrix Mechanics Note November 13 obtain orthogonal parameter plane strain plastic deformation polar coordinates potential Problem radius rate of deformation relation result rotation shear stress shown in Fig simple shear slip plane slip system Solution spherical strain energy strain tensor stress components stress field stress function stress tensor stretch ratio substitution Suggested Reading symmetric temperature tensile theory thermodynamic traction transformation uniaxial unit normal unit vector volume yield surface