Optimization-based algorithms for nonlinear mechanics and frictional contact.

AbstractWe present a version of the Discrete Element Method considering the particles as rigid polyhedra. The Principle of Virtual Work is employed as basis for a multibody dynamics model. Each particle surface is split into sub-regions, which are tracked for contact with other sub-regions of neighboring particles. Contact interactions are modeled pointwise, considering vertex-face, edge-edge, vertex-edge and vertex-vertex interactions. General polyhedra with triangular faces are considered as particles, permitting multiple pointwise interactions which are automatically detected along the model evolution. We propose a combined interface law composed of a penalty and a barrier approach, to fulfill the contact constraints. Numerical examples demonstrate that the model can handle normal and frictional contact effects in a robust manner. These include simulations of convex and non-convex particles, showing the potential of applicability to materials with complex shaped particles such as sand and railway ballast.

A Hybrid Material Point Method for Frictional Contact with Diverse Materials

Proceedings of the ACM on Computer Graphics and Interactive Techniques ◽

10.1145/3340258 ◽

2019 ◽

Vol 2 (2) ◽

pp. 1-24 ◽

Cited By ~ 7

Author(s):

Xuchen Han ◽

Theodore F. Gast ◽

Qi Guo ◽

Stephanie Wang ◽

Chenfanfu Jiang ◽

...

Keyword(s):

Hybrid Material ◽

Frictional Contact ◽

Material Point Method ◽

Material Point ◽

Point Method

Performance of SCAN Meta-GGA Functionals on Nonlinear Mechanics of Graphene-Like g-SiC

Crystals ◽

10.3390/cryst11020120 ◽

2021 ◽

Vol 11 (2) ◽

pp. 120

Author(s):

Qing Peng

Keyword(s):

Mechanical Properties ◽

Density Functional ◽

Large Strains ◽

Two Dimensional ◽

Nonlinear Mechanics ◽

Generalized Gradient ◽

Mechanics Of Materials ◽

Nonlinear Mechanical ◽

Direct Band ◽

Simulations And Modeling

Although meta-generalized-gradient approximations (meta-GGAs) are believed potentially the most accurate among the efficient first-principles calculations, the performance has not been accessed on the nonlinear mechanical properties of two-dimensional nanomaterials. Graphene, like two-dimensional silicon carbide g-SiC, has a wide direct band-gap with applications in high-power electronics and solar energy. Taken g-SiC as a paradigm, we have investigated the performance of meta-GGA functionals on the nonlinear mechanical properties under large strains, both compressive and tensile, along three deformation modes using Strongly Constrained and Appropriately Normed Semilocal Density Functional (SCAN) as an example. A close comparison suggests that the nonlinear mechanics predicted from SCAN are very similar to that of Perdew-Burke-Ernzerhof (PBE) formulated functional, a standard Density Functional Theory (DFT) functional. The improvement from SCAN calculation over PBE calculation is minor, despite the considerable increase of computing demand. This study could be helpful in selection of density functionals in simulations and modeling of mechanics of materials.

2ND International conference on nonlinear mechanics (ICNM II)

International Journal of Solids and Structures ◽

10.1016/0020-7683(93)90068-i ◽

1993 ◽

Vol 30 (2) ◽

pp. 299-300

Keyword(s):

Nonlinear Mechanics ◽

International Conference