## Introduction to mechanics of deformable solids |

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Page 38

At constant stress a = O\ a = ai = EKe + Ck has a simple

particular

the differential equation in standard form, de EK <t\ the

homogeneous ...

At constant stress a = O\ a = ai = EKe + Ck has a simple

**solution**. An obviousparticular

**solution**is e = <t\/Ek, which is the asymptotic value of e. Upon puttingthe differential equation in standard form, de EK <t\ the

**solution**to thehomogeneous ...

Page 169

A

conditions. Note the importance of history of loading in many of our problems. For

example, the current value of T does not determine the stress distribution

uniquely when ...

A

**solution**for given proper boundary conditions is the**solution**for thoseconditions. Note the importance of history of loading in many of our problems. For

example, the current value of T does not determine the stress distribution

uniquely when ...

Page 329

Analytic

the moment-curvature or torque-twist curve by linear-elastic response clear up to

a plastic-limit moment M0 or T0, at which point the deformation is unlimited (Fig.

Analytic

**solution**is possible when the further approximation is made of replacingthe moment-curvature or torque-twist curve by linear-elastic response clear up to

a plastic-limit moment M0 or T0, at which point the deformation is unlimited (Fig.

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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