Nonlinear - MCE 561 Computational Methods in Solid...

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MCE 561 Computational Methods in Solid Mechanics Nonlinear Issues
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Nonlinear Material Behavior This is one of the most common forms of nonlinearity, and would include nonlinear elastic, plastic, and viscoelastic behavior. For thermal problems, a temperature dependent thermal conductivity will produce nonlinear equations. Large Deformation Theory (Geometric Nonlinearity) If a continuum body under study undergoes large finite deformations, the strain- displacement relations will become nonlinear. Also for structural mechanics problems under large deformations, the stiffness will change with deformation thus making the problem nonlinear. Buckling problems are also nonlinear. Nonlinear Boundary or Initial Conditions Problems involving contact mechanics normally include a boundary condition that depends on the deformation thereby producing a nonlinear formulation. Thermal problems involving melting or freezing (phase change) also include such nonlinear boundary conditions. Many problems of engineering interest involve nonlinear behavior.
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Nonlinear - MCE 561 Computational Methods in Solid...

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