Explicit mixed strain-displacement finite element for dynamic geometrically non-linear solid mechanics
نویسندگان
چکیده
منابع مشابه
Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part II: Strain Localization
This paper deals with the question of strain localization associated with materials which exhibit softening due to tensile straining. A standard local isotropic Rankine damage model with strain-softening is used as exemplary constitutive model. Both the irreducible and mixed forms of the problem are examined and stability and solvability conditions are discussed. Lack of uniqueness and converge...
متن کاملA Stabilized Mixed Finite Element Method for Finite Elasticity Formulation for Linear Displacement and Pressure Interpolation
A stabilized mixed finite element method for finite elasticity is presented. The method circumvents the fulfillment of the Ladyzenskaya-Babuska-Brezzi condition by adding mesh-dependent terms, which are functions of the residuals of the Euler-Lagrange equations, to the usual Galerkin method. The weak form and the linearized weak form are presented in terms of the reference and current configura...
متن کاملExplicit mixed strain-displacement finite elements for compressible and quasi-incompressible elasticity and plasticity
This paper presents an explicit mixed finite element formulation to address compressible and quasi-incompressible problems in elasticity and plasticity. This implies that the numerical solution only involves diagonal systems of equations. The formulation uses independent and equal interpolation of displacements and strains, stabilized by variational subscales (VMS). A displacement sub-scale is ...
متن کاملAn assumed displacement hybrid finite element model for linear fracture mechanics
This paper deals with a procedure to calculate the elastic stress intensity factors for arbitrary-shaped cracks in plane stress and plane strain problems. An assumed displacement.hybrid finite element model is employed wherein the unknowns in the final algebraic system of equations are the nodal displacements and the elastic stress intensity factors. Special elements, which contain proper singu...
متن کاملA Mixed Finite Element Formulation for Incompressibility using Linear Displacement and Pressure Interpolations
In this work shall be presented a stabilized finite element method to deal with incompressibility in solid mechanics. A mixed formulation involving pressure and displacement fields is used and a continuous linear interpolation is considered for both fields. To overcome the Ladyzhenskaya-Babuška-Brezzi condition, a stabilization technique based on the orthogonal sub-grid scale method is introduc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computational Mechanics
سال: 2015
ISSN: 0178-7675,1432-0924
DOI: 10.1007/s00466-015-1121-x