## Introduction to mechanics of deformable solids |

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Page 262

(11.7:2) should enable you to write the complete expression for extensional strain

ea (change in length of the unit length) ... 11.11 /

STRAIN The definition of strain for small displacements [Eqs. (11.6:4), (11.9:1)] ...

(11.7:2) should enable you to write the complete expression for extensional strain

ea (change in length of the unit length) ... 11.11 /

**STRAIN RATE**OR VELOCITYSTRAIN The definition of strain for small displacements [Eqs. (11.6:4), (11.9:1)] ...

Page 268

Just place a dot over the strain components, replace E by C, G by C„ and

Poisson's ratio by £ or a smaller value if compressibility is to be taken into

account, as in a foamed plastic. Note, however, that the stresses determine the

Just place a dot over the strain components, replace E by C, G by C„ and

Poisson's ratio by £ or a smaller value if compressibility is to be taken into

account, as in a foamed plastic. Note, however, that the stresses determine the

**strain rates**in ...Page 269

component is time-independent,

elastic response to permit combination with the viscous response. Change in

strain in an elastic material is governed by change in stress, rate of change of

strain by ...

component is time-independent,

**strain**-**rate**expressions must be written forelastic response to permit combination with the viscous response. Change in

strain in an elastic material is governed by change in stress, rate of change of

strain by ...

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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