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Infinitesimal strain theory print that page

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 | 2011/4/25 5:06:26

Finite strain theory print that page

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, | 2011/2/1 8:25:43

Kevlar KM2 print that page


every day." [ 1 ] " Kevlar KM2 fiber is a transversely isotropic material. Its tensile stress strain response in the axial direction is linear and elastic until failure. However, the overall deformation in the transverse directions is nonlinear and nonelastic, although it can be treated

Francis Birch (geophysicist) print that page


In 1947, he adapted the isothermal Murnaghan equation of state, which had been developed for infinitesimal strain , for Eulerian finite strain , developing what is now known as the Birch-Murnaghan equation of state . [ 2 ] In 1961, Birch published two papers [ 3 ] [ 4 ] on compressional

Necking (engineering) print that page


deformation when a material's cross-sectional area decreases by a greater proportion than the material strain hardens . Considère published the basic criterion for necking in 1885. [ 3 ] Three concepts provide the framework for understanding neck formation. Before deformation, all real

Antiplane shear print that page

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 | 2010/9/25 13:20:18

Hooke's law print that page


approximation are known as linear-elastic or "Hookean" materials. Hooke's law in simple terms says that strain is directly proportional to stress . Mathematically, Hooke's law states that where x is the displacement of the spring's end from its equilibrium position (a distance

Stress (mechanics) print that page

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 | 2011/5/18 18:35:03

Stress analysis print that page

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 | 2011/7/12 9:29:41

Deformation (mechanics) print that page

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 | 2011/7/1 1:13:45