## 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 |

Copyright | |

5 other sections not shown

### Common terms and phrases

affine connexion arbitrary assumed biharmonic biharmonic equation body stress equation body-couple body-forces boundary conditions boundary stresses Cauchy integral Christoffel bracket connexion Christoffel symbols co(z complex variable components consider const constant continuous contravariant convected coordinate coordinate system corresponding covariant derivative covariant differentiation curvilinear coordinates defined denote determined displacement field displacement vector djdz elastic material occupy elastic potential elastic problems elasticity theory elements Euclidean follows force resultant give given Hence holomorphic function incompressible indices infinitesimal interior limiting values metric tensor neighbourhood notation obtain orthogonal parallel transfer plane strain plane stress Plemelj function potential functions problems involving real axis rectangular cartesian coordinates referred relations respectively satisfied scalar simple contour single-valued solution strain tensor strained body stress tensor stresses and displacements stresses at infinity surface symmetric tensor field theorem transformation laws two-dimensional unique unstrained vector field x+iy z-plane zero