## Introduction to mechanics of deformable solids |

### From inside the book

Results 1-3 of 50

Page 37

In the

elastic element and the stress in the viscous element (recall that forces in the

elements of the model represent stresses in the material), or = a' + av while the ...

In the

**Kelvin**or Voigt model, the stress at all times is the sum of the stress in theelastic element and the stress in the viscous element (recall that forces in the

elements of the model represent stresses in the material), or = a' + av while the ...

Page 39

Therefore B = —oi/EK, and the

= £L (1 _ «-(#«/«!) This expression checks the intuitive feeling that in a

material the stiffer the spring the sooner any given fraction of the asymptotic strain

...

Therefore B = —oi/EK, and the

**Kelvin**creep curve for abrupt loading is given by e= £L (1 _ «-(#«/«!) This expression checks the intuitive feeling that in a

**Kelvin**material the stiffer the spring the sooner any given fraction of the asymptotic strain

...

Page 42

strain is the sum of the strain of the Maxwell component plus the strain of the

o m — ok These same conditions on strain and on stress apply at all times and

for all ...

strain is the sum of the strain of the Maxwell component plus the strain of the

**Kelvin**, e = em + «k while the stress imposed upon each is the applied stress o =o m — ok These same conditions on strain and on stress apply at all times and

for all ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

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