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 78
... parallel to the sides . The principal moments of inertia are I1 = a3b / 12 , I2 = ab3 / 12 . ( 17.10 ) For a ... parallel in the undeformed state , and their 【-axes are parallel to the axis of the rod . When the rod is bent , the ↑ By ...
... parallel to the sides . The principal moments of inertia are I1 = a3b / 12 , I2 = ab3 / 12 . ( 17.10 ) For a ... parallel in the undeformed state , and their 【-axes are parallel to the axis of the rod . When the rod is bent , the ↑ By ...
Page 79
... parallel to the axis of rotation ; its components are the angles of rotation about each of the three axes of co - ordinates ) . To describe the deformation , we use the vector Ω = dø / dl , ( 18.1 ) which gives the " rate " of rotation ...
... parallel to the axis of rotation ; its components are the angles of rotation about each of the three axes of co - ordinates ) . To describe the deformation , we use the vector Ω = dø / dl , ( 18.1 ) which gives the " rate " of rotation ...
Page 134
... parallel to the z - axis with co - ordinates x = xo , y = 0 . The stress field which leaves the surface of the ... parallel edge dislocations in an isotropic medium which are in parallel slip planes . = boxy , fy SOLUTION . Let the slip ...
... parallel to the z - axis with co - ordinates x = xo , y = 0 . The stress field which leaves the surface of the ... parallel edge dislocations in an isotropic medium which are in parallel slip planes . = boxy , fy SOLUTION . Let the slip ...
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