The European Physical Journal Applied Physics · 1999 · 316 citations · 19 references
EngineeringComputational EngineeringMaterials EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsAdaptive Mesh RefinementComposite MaterialsDynamic Response AnalysisFinite Element FormulationMechanics Of Composite MaterialsSolid Mechanics ApplicationsContraction Mapping PrincipleFast Fourier TransformFourier TransformGrid RefinementGrid Refinement TechniquesMesh Refinement TechniquesNested GridsUniform Grids
A numerical scheme is presented to compute the response of a composite material to an applied field. The scheme is based on an iteration that uses a Fourier transform based projection method to compute the response of a reference material to the applied field, and a contraction mapping to relate the response of the reference material to the response of the composite material. The scheme also utilizes nested uniform grids to improve performance, and to evaluate the refinement of the grid.
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