## Introduction to mechanics of deformable solids |

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Page 19

The history of the

idealization in practice and in theoretical development is to assume linear-elastic

behavior up to

The history of the

**stress**is important, as well as its final value. A very usefulidealization in practice and in theoretical development is to assume linear-elastic

behavior up to

**yield**, followed by unlimited plastic strain at constant**stress**and ...Page 154

The material of the beam is elastic-perfectly plastic, with

When the extreme fiber stress (the maximum stress) just reaches a0, find the

moments 1. Mj 2. My* about the coordinate axes. B. When the beam is essentially

fully ...

The material of the beam is elastic-perfectly plastic, with

**yield stress**<70. A.When the extreme fiber stress (the maximum stress) just reaches a0, find the

moments 1. Mj 2. My* about the coordinate axes. B. When the beam is essentially

fully ...

Page 210

Description as a time-independent material then is appropriate, with separation

of elastic and plastic strains and a definition of yield point or

Fig. 2.2 for axial tension and Fig. 4.10 for shear. The state of stress in pure axial ...

Description as a time-independent material then is appropriate, with separation

of elastic and plastic strains and a definition of yield point or

**yield strength**as inFig. 2.2 for axial tension and Fig. 4.10 for shear. The state of stress in pure axial ...

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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