Theory of Elasticity, Volume 7"This present volume of our Theoretical Physics deals with the theory of elasticity. Being written by physicists, and primarily for physicists, it naturally includes not only the ordinary theory of the deformation of solids, but also some topics not usually found in textbooks on the subjects, such as thermal conduction and viscosity in solids, and various problems in the theory of elastic vibration and waves."--Authors, 'Preface to the First English Edition. |
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Page 124
... vector u , the total increment of this vector around the circuit will not be zero , but equals one lattice period in ... Burgers vector of the dislocation concerned . This property may be expressed as rdui & am $ Sdm = √om dxx = - - bi ...
... vector u , the total increment of this vector around the circuit will not be zero , but equals one lattice period in ... Burgers vector of the dislocation concerned . This property may be expressed as rdui & am $ Sdm = √om dxx = - - bi ...
Page 130
... Burgers vector be b by = bz 0. It is evident from the symmetry of the problem that the displacement vector lies in the xy - plane and is independent of x , so that the problem is a two - dimensional one . In the rest of this solution all ...
... Burgers vector be b by = bz 0. It is evident from the symmetry of the problem that the displacement vector lies in the xy - plane and is independent of x , so that the problem is a two - dimensional one . In the rest of this solution all ...
Page 137
... Burgers vector through the contour L per unit time , i.e. the Burgers vector carried across L by moving dislocations . We may therefore call jix the dislocation flux density tensor . In particular , it is clear that for an isolated ...
... Burgers vector through the contour L per unit time , i.e. the Burgers vector carried across L by moving dislocations . We may therefore call jix the dislocation flux density tensor . In particular , it is clear that for an isolated ...
Contents
FUNDAMENTAL EQUATIONS | 1 |
2 The stress tensor | 11 |
8 Equilibrium of an elastic medium bounded by a plane | 29 |
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 dislocation line displacement vector 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 grad div Hence HOOKE's law integral internal stresses isotropic isotropic body Let us consider longitudinal longitudinal waves medium moduli non-zero obtain parallel perpendicular plate PROBLEM quantities radius relation result rotation shear shell small compared SOLUTION strain tensor stress tensor stretching Substituting suffixes symmetry temperature thermal thermal conduction torsion transverse transverse waves two-dimensional undeformed unit length unit volume values velocity of propagation vibrations wave vector x-axis xy-plane z-axis zero σικ ди дхду дхк