Second Order Accurate Finite Difference Methods

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Abstract:

Existing second order accurate finite difference methods have been evaluated for application to finite deformation transient dynamic response problems in solids. A new second order accurate finite difference technique has been developed. This is a two-step technique that can be used with deformable Lagrangian meshes. The technique has been developed by using the concepts of contour differences and MacCormack methods. The second order techniques have been applied to study many problems including dynamic poynting effect problems, interaction of stress waves and cracks, beams, with nonstructured masses and stiffened shells.

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