Continuum Mechanics: Elasticity, Plasticity, ViscoelasticityMost books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject th |
Contents
| 1 | |
Chapter 2 Nonlinear Elasticity | 49 |
Chapter 3 Linear Elasticity | 113 |
Chapter 4 Plasticity | 159 |
Chapter 5 Viscoelasticity | 213 |
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Common terms and phrases
a₁ b₁ base vectors body boundary conditions called Cijkm coefficients components consider constitutive functions constitutive relations Continuum Mechanics coordinate system covariant crack curvilinear coordinate defined deformation gradient denote depends determined deviatoric displacement dissipation e₁ eigenvalues eigenvectors elastic material fiber FIGURE finite element follows formula fourth-order tensor free energy hardening isotropic isotropic material linear elasticity mathematical matrix Nonlinear normal basis notation orthogonal parameters particle plane stress plastic loading plastic strain potential energy principal invariants real numbers reference configuration rotation tensor scalar shape functions shear skew-symmetric solution strain energy strain tensor stress tensor stress vector stretch symmetric tensor T₁ temperature tensile test theorem theory thermodynamic unit vectors vector space viscoelastic yield criterion yield function yield surface zero εε ττ ду дх