Simulations using meshfree methods

Évaluation des Méthodes Meshfree pour les Simulations Géomécaniques en Transformations Finies. (Evaluation of Meshfree Methods for Geomechanical Modelling at Finite Strains)

Meshfree simulations of thermo-mechanical ductile fracture

In this work, a meshfree method is used to simulate thermo-mechanical ductile fracture under finite deformation. A Galerkin meshfree formulation incorporating the Johnson-Cook damage model is implemented in numerical computations. We are interested in the simulation of thermomechanical effects on ductile fracture under large scale yielding. A rate form adiabatic split is proposed in the constit...

A Meshfree Method for Simulations of Interactions between Fluids and Flexible Structures

We present the application of a meshfree method for simulations of interaction between fluids and flexible structures. As a flexible structure we consider a sheet of paper. In a two-dimensional framework this sheet can be modeled as curve by the dynamical Kirchhoff-Love theory. The external forces taken into account are gravitation and the pressure difference between upper and lower surface of ...

A temperature-related homogenization technique and its implementation in the meshfree particle method for nanoscale simulations

A new homogenization technique, the temperature-related Cauchy–Born (TCB) rule, is proposed in this paper with the consideration of the free energy instead of the potential energy. Therefore, temperature effects at the nanoscale can be investigated using continuum approximation with the implementation of the TCB rule. The TCB rule is verified via stress analyses of several crystalline solids. T...

Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations

A displacement-based Galerkin meshfree method for large deformation analysis of nearly-incompressible elastic solids is presented. Nodal discretization of the domain is defined by a Delaunay tessellation (three-node triangles and four-node tetrahedra), which is used to form the meshfree basis functions and to numerically integrate the weak form integrals. In the proposed approach for nearly-inc...