Macroscopical Modeling and Numerical Simulation for the Characterization of Crack and Durability Properties of Particle-Reinforced Elastomers

Behnke, Ronny; Dal, Hüsnü; Geißler, Gordon; Näser, Bastian; Netzker, Christiane; Kaliske, Michael

doi:10.1007/978-3-642-37910-9_5

Cited by 8 publications

(2 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Comparisons with finite element (FE) simulations based on traditional FE crack propagation schemes show that the singularities around the crack tip can be well captured by the SBFEM with less computational effort [21,22]. A large group of materials (e.g., elastomers) show large deformations combined with large strains at rupture (Behnke et al [23]). Because of the semi-analytical approach of the SBFEM, analytical solutions for physically or geometrically induced nonlinearities of the domain to be described are difficult to derive.…”

Section: Introductionmentioning

confidence: 97%

See 1 more Smart Citation

A physically and geometrically nonlinear scaled‐boundary‐based finite element formulation for fracture in elastomers

Behnke

Mundil

Birk

et al. 2014

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYThis paper is devoted to the formulation of a plane scaled boundary finite element with initially constant thickness for physically and geometrically nonlinear material behavior. Special two-dimensional element shape functions are derived by using the analytical displacement solution of the standard scaled boundary finite element method, which is originally based on linear material behavior and small strains. These 2D shape functions can be constructed for an arbitrary number of element nodes and allow to capture singularities (e.g., at a plane crack tip) analytically, without extensive mesh refinement. Mapping these proposed 2D shape functions to the 3D case, a formulation that is compatible with standard finite elements is obtained. The resulting physically and geometrically nonlinear scaled boundary finite element formulation is implemented into the framework of the finite element method for bounded plane domains with and without geometrical singularities. The numerical realization is shown in detail. To represent the physically and geometrically nonlinear material and structural behavior of elastomer specimens, the extended tube model and the Yeoh model are used. Numerical studies on the convergence behavior and comparisons with standard Q1P0 finite elements demonstrate the correct implementation and the advantages of the developed scaled boundary finite element.

show abstract

Section: Introductionmentioning

confidence: 97%

“…A large group of materials (e.g., elastomers) show large deformations combined with large strains at rupture (Behnke et al ). Because of the semi‐analytical approach of the SBFEM, analytical solutions for physically or geometrically induced nonlinearities of the domain to be described are difficult to derive.…”

Section: Introductionmentioning

confidence: 99%