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
... lattice period in the x - direction . Another type of dislocation may be visualised as the result of " cutting ” the lattice along a half - plane and then shifting the parts of the lattice on either side of the cut in opposite ...
... lattice period in the x - direction . Another type of dislocation may be visualised as the result of " cutting ” the lattice along a half - plane and then shifting the parts of the lattice on either side of the cut in opposite ...
Page 135
... lattice period ; since the lattice is then regular , the crystal remains un- stressed . Unlike an elastic deformation , which is uniquely defined by the thermodynamic state of the body , a plastic deformation depends on the process ...
... lattice period ; since the lattice is then regular , the crystal remains un- stressed . Unlike an elastic deformation , which is uniquely defined by the thermodynamic state of the body , a plastic deformation depends on the process ...
Page 141
... ( lattice defects ) at the ends of the segment ( a1 , a2 ) . When w ( x ) = 0 we have from ( 30.5 ) N + ( x ) -- ( x ) , i.e. the function ( 2 ) must change sign in a passage round each of the points a1 , a2 . This condition is satisfied ...
... ( lattice defects ) at the ends of the segment ( a1 , a2 ) . When w ( x ) = 0 we have from ( 30.5 ) N + ( x ) -- ( x ) , i.e. the function ( 2 ) must change sign in a passage round each of the points a1 , a2 . This condition is satisfied ...
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