Theory of Elasticity |
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Page 4
... internal stresses . If no deformation occurs , there are no internal stresses . The internal stresses are due to molecular forces , i.e. the forces of inter- action between the molecules . An important fact in the theory of elasticity ...
... internal stresses . If no deformation occurs , there are no internal stresses . The internal stresses are due to molecular forces , i.e. the forces of inter- action between the molecules . An important fact in the theory of elasticity ...
Page 7
... stresses in every volume element must balance , i.e. we must have F1 = 0. Thus the equations of equilibrium for a deformed body are док / дхк = 0 . ( 2.6 ) If the body is in a gravitational field , the sum F + pg of the internal stresses ...
... stresses in every volume element must balance , i.e. we must have F1 = 0. Thus the equations of equilibrium for a deformed body are док / дхк = 0 . ( 2.6 ) If the body is in a gravitational field , the sum F + pg of the internal stresses ...
Page 131
... internal stress remains in the fluid . Let 7 be of the order of the time during which the stresses are damped ... stresses in a fluid , i.e. = σik = 2ηúik = - 2ιωηνικ In the opposite limit of large frequencies , the fluid behaves like a ...
... internal stress remains in the fluid . Let 7 be of the order of the time during which the stresses are damped ... stresses in a fluid , i.e. = σik = 2ηúik = - 2ιωηνικ In the opposite limit of large frequencies , the fluid behaves like a ...
Contents
FUNDAMENTAL EQUATIONS 1 The strain tensor | 1 |
2 The stress tensor | 4 |
3 The thermodynamics of deformation | 8 |
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adiabatic angle axes axis bending biharmonic equation boundary conditions centre clamped coefficient components constant corresponding cross-section crystal crystallite curl curvature deflection derivatives Determine the deformation displacement vector edge elastic wave element equations of equilibrium equations of motion expression external forces fluid force F formula free energy frequency function given gives grad div Hence hydrostatic compression integral internal stresses isotropic isotropic body length Let us consider longitudinal waves medium modulus non-zero perpendicular plane plate PROBLEM quadratic quantities radius region of contact respect result rotation satisfies shear shell small compared SOLUTION strain tensor stress tensor stretching Substituting suffixes symmetry temperature theory of elasticity thermal conduction thin torsion transverse waves undeformed unit volume values velocity of propagation vibrations wave vector x-axis xy-plane Young's modulus z-axis zero диі дхду дхі дхк