## Introduction to Mechanics of Deformable Solids |

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Page 24

variations and of stress concentrations on the number of cycles

fatigue failure . The word “ failure ” need not connote fracture . A bar which

buckles in compression may do as much damage as one which fractures in

tension .

variations and of stress concentrations on the number of cycles

**needed**forfatigue failure . The word “ failure ” need not connote fracture . A bar which

buckles in compression may do as much damage as one which fractures in

tension .

Page 97

In each of the examples , the full use of statics leads to one less independent

equation than there are unknown forces . One more relation is

the problem . The additional equation is given by the geometry of the deformation

and ...

In each of the examples , the full use of statics leads to one less independent

equation than there are unknown forces . One more relation is

**needed**to solvethe problem . The additional equation is given by the geometry of the deformation

and ...

Page 197

3 : 20 , 21 ) and are

displacements u and w by their time rates of change or velocities du / dt and dw /

dt , strains e by strain rates de / dt , elastic constants E and v by viscous

coefficients ...

3 : 20 , 21 ) and are

**needed**in the stress - strain relation ( 9 . 3 : 22 ) . Replacedisplacements u and w by their time rates of change or velocities du / dt and dw /

dt , strains e by strain rates de / dt , elastic constants E and v by viscous

coefficients ...

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### Common terms and phrases

actual addition angle answer applied assemblage axes axial axis beam behavior bending circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve cylinder deflection deformation determined diameter direction displacement effect elastic equal equation equilibrium example Figure Find force given gives homogeneous idealization increase initial interior isotropic length limit linear linear-elastic load material maximum Maxwell modulus moment needed nonlinear normal obtained outer plane plastic positive pressure principal Prob problem produced pure radius range ratio relation replaced requires residual response result rotation shaft shear stress shell shown shows simple sketch solid solution steel strain stress-strain relations structural Suppose surface symmetry temperature tensile tension thickness thin-walled torsion tube twisting uniform unloading versus viscous yield zero