## Introduction to mechanics of deformable solids |

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Page 179

directly from the expression for circumferential strain in terms of outward THICK-

WALLED PRESSURE VESSELS / IT radial displacement u (Fig. 9.5c), = 2^r = - or

.

**Compatibility**of strains The condition of deformation or**compatibility**followsdirectly from the expression for circumferential strain in terms of outward THICK-

WALLED PRESSURE VESSELS / IT radial displacement u (Fig. 9.5c), = 2^r = - or

.

Page 202

Suppose that a particular set of values e', de' /dt, a', da' /dt, M' , dM' /dt, . . . satisfies

equilibrium,

loading of a body and that another solution for the same body under a different ...

Suppose that a particular set of values e', de' /dt, a', da' /dt, M' , dM' /dt, . . . satisfies

equilibrium,

**compatibility**, and the stress-strain relations everywhere for oneloading of a body and that another solution for the same body under a different ...

Page 381

An arbitrary equilibrium set gives a geometric condition of deformation or

= F'/(2 cos a) is selected and the VIRTUAL-WORK EQUATION AND TECHNIQUE

/ 381.

An arbitrary equilibrium set gives a geometric condition of deformation or

**compatibility**If in the two-bar truss example of Fig. 15.2a the equilibrium set F', P'= F'/(2 cos a) is selected and the VIRTUAL-WORK EQUATION AND TECHNIQUE

/ 381.

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applied assemblage axial force beam behavior centroid circumferential column compatibility components of stress conditions of deformation constant creep cross section cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch fully plastic homogeneous idealization increase inelastic initial interior pressure isotropic Kelvin Kelvin material limit linear Maxwell linear-elastic response linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear nonlinear-viscous normal stress outer perfectly plastic perpendicular plane plastic deformation plastic-limit Poisson's ratio principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rigid end plates rotation shaft shear strain shear stress shell simple shear solution statically statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled sphere thickness time-dependent torque torsion uniform unloading versus viscous yield curve yield stress zero