A 10-node composite tetrahedral finite element for solid mechanics

Edge-based Finite Element Techniques for Nonlinear Solid Mechanics Problems

Edge-based data structures are used to improve computational efficiency of Inexact Newton methods for solving finite element nonlinear solid mechanics problems on unstructured meshes. Edge-based data structures are employed to store the stiffness matrix coefficients and to compute sparse matrix-vector products needed in the inner iterative driver of the Inexact Newton method. Numerical experime...

An unstructured immersed finite element method for nonlinear solid mechanics

We present an immersed finite element technique for boundary-value and interface problems from nonlinear solid mechanics. Its key features are the implicit representation of domain boundaries and interfaces, the use of Nitsche’s method for the incorporation of boundary conditions, accurate numerical integration based on marching tetrahedrons and cut-element stabilisation by means of extrapolati...

Adaptive tetrahedral subdivision for finite element analysis

Realistic behavior of deformable objects is essential for many applications in computer graphics, engineering, or medicine. Typical techniques are either based on mass-springdamper models, boundary element methods, finite difference methods, or finite element methods. These methods either lack accuracy or are computationally very expensive. If accuracy is required FEM computations use adaptive ...

A four-node hybrid assumed-strain finite element for laminated composite plates

Fibre-reinforced plates and shells are finding an increasing interest in engineering applications. Consequently, efficient and robust computational tools are required for the analysis of such structural models. As a matter of fact, a large amount of laminate finite elements have been developed and incorporated in most commercial codes for structural analysis. In this paper a new laminate hybrid...

Nonlinear Continuum Mechanics for Finite Element Analysis