23 Result(s)
within
Jiun-Shyan Chen
Computational Science and Engineering
-
Article
A Lagrangian reproducing kernel particle method for metal forming analysis
A Meshless approach based on a Reproducing Kernel Particle Method is developed for metal forming analysis. In this approach, the displacement shape functions are constructed using the reproducing kernel appro...
-
Chapter and Conference Paper
Extended Meshfree Method for Elastic and Inelastic Media
In this paper, an extended meshfree method [9] for solving elastic boundary value problems is summarized, and its extension to the elasto-plasticity problem is presented. In extended meshfree method, the solution...
-
Article
A locking-free meshfree curved beam formulation with the stabilized conforming nodal integration
A locking-free meshfree curved beam formulation based on the stabilized conforming nodal integration is presented. Motivated by the pure bending solutions of thin curved beam, a meshfree approximation is const...
-
Chapter and Conference Paper
Multiscale Approach for Quantum Systems
In this work we propose an iterative multiscale scheme for eigen solutions of the Schrödinger equation with application to the quantum dot array (QDA) systems. The asymptotic expansion predictor and inverse it...
-
Article
Open AccessAn iterative asymptotic expansion method for elliptic eigenvalue problems with oscillating coefficients
In this work we propose a method for obtaining fine-scale eigensolution based on the coarse-scale eigensolution in elliptic eigenvalue problems with oscillating coefficient. This is achieved by introducing a 2...
-
Chapter and Conference Paper
Corrected Stabilized Non-conforming Nodal Integration in Meshfree Methods
A novel approach is presented to correct the error from numerical integration in Galerkin methods for meeting linear exactness. This approach is based on a Ritz projection of the integration error that allows ...
-
Article
A weighted collocation on the strong form with mixed radial basis approximations for incompressible linear elasticity
A weighted strong form collocation framework with mixed radial basis approximations for the pressure and displacement fields is proposed for incompressible and nearly incompressible linear elasticity. It is sh...
-
Article
A reproducing kernel smooth contact formulation for metal forming simulations
This paper presents a meshfree smooth contact formulation for application to metal forming problems. The continuum-based contact formulation requires ...
-
Article
Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems
Galerkin meshfree methods can suffer from instability and suboptimal convergence if the issue of quadrature is not properly addressed. The instability due to quadrature is further magnified in high strain rate...
-
Article
A damage analysis for brittle materials using stochastic micro-structural information
In this work, a micro-crack informed stochastic damage analysis is performed to consider the failures of material with stochastic microstructure. The derivation of the damage evolution law is based on the Helm...
-
Article
Stable and flux-conserved meshfree formulation to model shocks
Accurate shock modeling requires that two critical issues be addressed: (1) correct representation of the essential shock physics, and (2) control of Gibbs phenomenon oscillation at the discontinuity. In this ...
-
Article
Variationally consistent coupling of non-matching discretizations for large deformation problems
Non-matching interfaces occur in large computational models of complicated structures when different discretizations are used in different regions of the problem domain. Presence of non-matching interfaces, fo...
-
Article
Correction to: A damage analysis for brittle materials using stochastic micro-structural information
After publication of the original article [1], it has come to our attention that a citation of article [2] was missed.
-
Article
A decomposed subspace reduction for fracture mechanics based on the meshfree integrated singular basis function method
In this work, we propose a new decomposed subspace reduction (DSR) method for reduced-order modeling of fracture mechanics based on the integrated singular basis function method (ISBFM) with reproducing kernel...
-
Article
RKPM2D: an open-source implementation of nodally integrated reproducing kernel particle method for solving partial differential equations
We present an open-source software RKPM2D for solving PDEs under the reproducing kernel particle method (RKPM)-based meshfree computational framework. Compared to conventional mesh-based methods, RKPM provides...
-
Article
Treatment of near-incompressibility in meshfree and immersed-particle methods
We propose new projection methods for treating near-incompressibility in small and large deformation elasticity and plasticity within the framework of particle and meshfree methods. Using the $$\overline{\mathbf ...
-
Article
A MUSCL-SCNI approach for meshfree modeling of shock waves in fluids
A stable and nodally integrated meshfree formulation for modeling shock waves in fluids is developed. The reproducing kernel approximation is employed to discretize the conservation equations for compressible ...
-
Article
Open AccessA variational multiscale immersed meshfree method for heterogeneous materials
We introduce an immersed meshfree formulation for modeling heterogeneous materials with flexible non-body-fitted discretizations, approximations, and quadrature rules. The interfacial compatibility condition i...
-
Article
Open AccessA semi-Lagrangian reproducing kernel particle method with particle-based shock algorithm for explosive welding simulation
The explosive welding process is an extreme-deformation problem that involves shock waves, large plastic deformation, and fragmentation around the collision point, which are extremely challenging features to m...
-
Article
Open AccessA deformation-dependent coupled Lagrangian/semi-Lagrangian meshfree hydromechanical formulation for landslide modeling
The numerical modelling of natural disasters such as landslides presents several challenges for conventional mesh-based methods such as the finite element method (FEM) due to the presence of numerically challe...
