A Meshfree Nodal Integration Method for Elastic and Elastoplastic Applications Using The Virtual Element Decomposition
A talk given by A. Ortiz-Bernardin at COMPLAS 2019, September 3, 2019, Barcelona, Spain. A MESHFREE NODAL INTEGRATION METHOD FOR…
Accepted Paper: A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition
Paper Accepted for Publication in International Journal for Numerical Methods in Engineering R. Silva-Valenzuela, A. Ortiz-Bernardin, N. Sukumar, E. Artioli, …
Paper Accepted for Publication in Finite Elements in Analysis and Design Amrita Francis, Alejandro Ortiz-Bernardin, Stéphane P. A. Bordas, Sundararajan…
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Some of our latest research efforts are tailored to devise new nodal integration techniques by combining meshfree Galerkin methods with the relatively new numerical technology offered by the Virtual Element Method. Nodal integration schemes formulated in this manner are stable and convergent by construction. In this approach, state variables such as strains, stresses, and other internal variables in nonlinear computations can be stored at the nodes just like the displacements.
Some nodal cells used in nodal integration.