## 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**, fnllnwoH hy unlimited plasticjrtrain vat constant**stress**...Page 154

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

the extreme fiber stress (the maximum stress) just reaches <r0, find the moments

1. MS 2. MyY about the coordinate axes. B. When the beam is essentially fully ...

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

**yield stress**<r0- A. Whenthe extreme fiber stress (the maximum stress) just reaches <r0, find the moments

1. MS 2. MyY 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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angle applied assemblage axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cross section cylinder dashpot deflection diameter direction displacement elastic-perfectly plastic elongation equation of virtual equations of equilibrium factor of safety free-body sketch 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 principal stresses Prob problem pure bending radial radius ratio rotation shaft shear center shear strain shear stress shell shown in Fig simple shear solution statically statically determinate steel strain rate stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled thickness time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress zero