Matrix analysis
Numerical Recipes in FORTRAN: The Art of Scientific Computing
Numerical Recipes in FORTRAN: The Art of Scientific Computing
Concepts and Applications of Finite Element Analysis
Concepts and Applications of Finite Element Analysis
Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
Cutoff wave numbers for energy-orthogonal eight-node quadrilateral plane-strain elements
Computers and Structures
Model Order Reduction Techniques: with Applications in Finite Element Analysis
Model Order Reduction Techniques: with Applications in Finite Element Analysis
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This paper studies the propagation of plane harmonic waves in unbounded media discretized by the standard six-node triangular finite element. The element stiffness matrix is split into basic and higher order components which are obtained from mean and deviatoric strain fields, respectively. This decomposition is applied to the elastic energy. Based on the properties of the higher order energy, two values of the wave number are selected. Depending on the desired precision one of those values can be used as optimum cutoff wave number to properly capture a wave field.