## Theory of Elasticity, Volume 7 |

### From inside the book

Results 1-3 of 26

Page 78

... its centre of mass is at the centre of the rectangle, and the principal axes of

inertia are

a&l\2. (17.10) For a circular cross-section of radius R, the centre of mass is at the

...

... its centre of mass is at the centre of the rectangle, and the principal axes of

inertia are

**parallel**to the sides. The principal moments of inertia are h = a%lll, h =a&l\2. (17.10) For a circular cross-section of radius R, the centre of mass is at the

...

Page 79

Let d<J> be the vector of the angle of relative rotation of two systems at a

distance dl apart along the rod (we know that an infinitesimal angle of rotation

can be regarded as a vector

angles ...

Let d<J> be the vector of the angle of relative rotation of two systems at a

distance dl apart along the rod (we know that an infinitesimal angle of rotation

can be regarded as a vector

**parallel**to the axis of rotation; its components are theangles ...

Page 134

Problem 2. A straight screw dislocation lies

isotropic medium. Find the force acting on the dislocation. Solution. Let the yz-

plane be the surface of the body, and let the dislocation be

Problem 2. A straight screw dislocation lies

**parallel**to the plane free surface of anisotropic medium. Find the force acting on the dislocation. Solution. Let the yz-

plane be the surface of the body, and let the dislocation be

**parallel**to the x-axis ...### What people are saying - Write a review

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### Contents

FUNDAMENTAL EQUATIONS 1 The strain tensor | 1 |

2 The stress tensor | 4 |

3 The thermodynamics of deformation | 8 |

Copyright | |

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### Common terms and phrases

angle arbitrary axis bending biharmonic equation boundary conditions Burgers vector centre clamped coefficient components constant contour corresponding cross-section crystal crystallites curvature deflection denote derivatives Determine the deformation direction dislocation line displacement vector dxdy edge elastic wave element equations of equilibrium equations of motion expression external forces fluid force F forces acting forces applied formula free energy frequency function given gives Hence Hooke's law integral internal stresses isotropic isotropic body lattice Let us consider longitudinal longitudinal waves medium moduli non-zero parallel perpendicular plate Poisson's ratio quadratic quantities radius region of contact relation respect result rotation shear shell small compared Solution strain tensor stress tensor stretching Substituting suffixes symmetry temperature thermal conduction thin torsion transverse transverse waves two-dimensional undeformed unit length unit volume values velocity of propagation vibrations wave vector z-axis zero