cha10-NL-FEM2

cha10-NL-FEM2 - 2 3 t t t 1 2 3 t i i x , x ). Under action...

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Material nonlinearity: nonlinear elasticity elasto-plasticity visco-elasticity visco-plasticity Geometric nonlinearity: elastic instability large strain (Green Lagrange, Almansi’s ) coupled material-geometry nonlinearity (large strain) Contact analysis Frictionless contact Dynamic structural analysis Implicit and explicit methods of solution Different Nonlinear Analysis
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0 0 1 Coordinate Systems The configuration of the body is referred to a cartesian base system, which is fixed in space. The coordinates of a particle P in the referenece configuration are indicated by ( x ,
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Unformatted text preview: 2 3 t t t 1 2 3 t i i x , x ). Under action of loads after time t the particle P moves to a new position whose base position are indicated by ( x , x , x ) then the transformation is x x = t i t t t 1 2 3 1 2 3 t t i i i 1 2 3 t t 1 2 u maps the location of P( x , x , x ) to P( x , x , x ) where u x x Remarks Coordinates ( x , x , x ) are called material coordinates and coordinates ( x , x , + =-t 3 x )are called spatial coordinates where Right Cauchy-Green Deformation Tensor Left Cauchy-Green Deformation Tensor Right Stretch Tensor t t t X R U = X...
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This note was uploaded on 12/11/2011 for the course EML 3004c taught by Professor Staff during the Fall '11 term at FSU.

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cha10-NL-FEM2 - 2 3 t t t 1 2 3 t i i x , x ). Under action...

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