Rodrigo Silva-Valenzuela

Rodrigo Silva-Valenzuela
  • Master of Science in Engineering
  • PhD Student at University of Chile

About

12
Publications
4,904
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49
Citations
Current institution
University of Chile
Current position
  • PhD Student

Publications

Publications (12)
Article
Full-text available
A recently proposed node-based uniform strain virtual element method (NVEM) is here extended to small strain elastoplastic solids. In the proposed method, the strain is averaged at the nodes from the strain of surrounding linearly precise virtual elements using a generalization to virtual elements of the node-based uniform strain approach for finit...
Preprint
Full-text available
A recently proposed node-based uniform strain virtual element method (NVEM) is here extended to small strain elastoplastic solids. In the proposed method, the strain is averaged at the nodes from the strain of surrounding linearly-precise virtual elements using a generalization to virtual elements of the node-based uniform strain approach for finit...
Article
Full-text available
We propose a combined nodal integration and virtual element method for compressible and nearly incompressible elasticity, wherein the strain is averaged at the nodes from the strain of surrounding virtual elements. For the strain averaging procedure, a nodal averaging operator is constructed using a generalization to virtual elements of the node‐ba...
Preprint
Full-text available
We propose a combined nodal integration and virtual element method for compressible and nearly incompressible elasticity, wherein the strain is averaged at the nodes from the strain of surrounding virtual elements. For the strain averaging procedure, a nodal averaging operator is constructed using a generalization to virtual elements of the node-ba...
Article
Full-text available
In this paper, we present a novel nodal integration scheme for meshfree Galerkin methods that draws on the mathematical framework of the virtual element method. We adopt linear maximum-entropy basis functions for the discretization of field variables, although the proposed scheme is applicable to any linear meshfree approximant. In our approach, th...
Article
Full-text available
This paper summarizes the development of Veamy, an object-oriented C++ library for the virtual element method (VEM) on general polygonal meshes, whose modular design is focused on its extensibility. The linear elastostatic and Poisson problems in two dimensions have been chosen as the starting stage for the development of this library. The theory o...
Preprint
Full-text available
In this paper, we present a novel nodal integration scheme for meshfree Galerkin methods that draws on the mathematical framework of the virtual element method. We adopt linear maximum-entropy basis functions for the discretization of field variables, although the proposed scheme is applicable to any linear meshfree approximant. In our approach, th...
Presentation
Full-text available
A meshfree nodal integration method presented at XV International Conference on Computational Plasticity. Fundamentals and Applications. (COMPLAS 2019).
Presentation
Full-text available
A new approach to integrate the meshfree stiffness matrix using a combination between nodal integration and the virtual element method.
Conference Paper
Full-text available
In meshfree Galerkin methods to solve partial differential equations, a cloud of nodes is used to discretize the domain. On using the nodal data, smooth, compactly-supported, non-polynomial basis functions are constructed to form the trial and test functions. Instead of using Gauss cubature points to compute the weak form integrals, use of nodal in...
Presentation
Full-text available
En este trabajo, de carácter pedagógico, se presentan los fundamentos teóricos del método del elemento virtual para la discretización de geometrías utilizando mallas formadas por elementos que poseen un número arbitrario de lados, no necesariamente convexos. El desarrollo de este trabajo se enfoca en los problemas de elasticidad lineal y de Poisson...
Preprint
This paper summarizes the development of Veamy, an object-oriented C++ library for the virtual element method (VEM) on general polygonal meshes, whose modular design is focused on its extensibility. The linear elastostatic and Poisson problems in two dimensions have been chosen as the starting stage for the development of this library. The theory o...

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