## Infinitesimal strain theory

In continuum mechanics , the **infinitesimal strain** theory , sometimes called small deformation theory , small displacement theory , or small displacement-gradient theory , deals with **infinitesimal** deformations of a continuum body . For an **infinitesimal** deformation the displacements and

**wikipedia.org**| 2011/4/25 5:06:26

## Finite strain theory

In continuum mechanics , the finite **strain** theory also called large **strain** theory , or large deformation theory , deals with deformations in which both rotations and strains are arbitrarily large, i.e. invalidate the assumptions inherent in **infinitesimal strain** theory . In this case,

**wikipedia.org**| 2011/2/1 8:25:43

## Antiplane shear

where b 3 is the body force in the x 3 direction and . Note that this equation is valid only for **infinitesimal** strains. [ edit ] Applications The antiplane shear assumption is used to determine the stresses and displacements due to a screw dislocation . [ edit ] References ^ W. S

**wikipedia.org**| 2010/9/25 13:20:18

## Stress (mechanics)

In continuum mechanics , stress is a measure of the internal forces acting within a deformable body . Quantitatively, it is a measure of the average force per unit area of a surface within the body on which internal forces act. These internal forces are a reaction to external forces applied

**wikipedia.org**| 2011/5/18 18:35:03

## Stress analysis

testing 2 Factor of safety 3 Load transfer 4 Uniaxial stress 5 Plane stress 6 Plane **strain** 7 Stress transformation in plane stress and plane **strain** 8 Graphical representation of stress at a point 8.1 Mohr's circle 8.2 Lame's stress ellipsoid 8.3 Cauchy's stress quadric

**wikipedia.org**| 2011/7/12 9:29:41

## Deformation (mechanics)

body forces (such as gravity or electromagnetic forces), or temperature changes within the body. **Strain** is a description of deformation in terms of relative displacement of particles in the body. Different equivalent choices may be made for the expression of a **strain** field depending on

**wikipedia.org**| 2011/7/1 1:13:45