Plane Elastic Deformation |
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Contents
Analysis of Stress and Strain The Elastic Potential | 28 |
Solution of Problems Involving Finite Elastic Deformation | 43 |
Finite Plane Strain | 55 |
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Common terms and phrases
a²x affine connexion analytic arbitrary assumed ax³ biharmonic body stress body-couple body-forces body-stress equations boundary stresses Cauchy integral Christoffel symbols complex variable components consider const constant continuous contravariant convected coordinate coordinate system corresponding covariant derivative covariant differentiation curvilinear coordinates defined denote determined displacement vector ds² elastic potential elastic problems elasticity theory expressed f(to finite follows give given half-plane Hence Hölder condition holomorphic function incompressible indices interior invariant medium metric tensor notation obtain orthogonal parallel transfer plane strain plane stress Plemelj function potential functions rectangular cartesian coordinates region relations satisfied scalar solution space specified strain tensor stresses and displacements stresses at infinity surface symmetric t-to tensor field theorem transformation laws unique unstrained vector field X+iY zero αμν Σπί ди др ду дх