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  1. Article

    Open Access

    Interpolation-based immersogeometric analysis methods for multi-material and multi-physics problems

    Immersed boundary methods are high-order accurate computational tools used to model geometrically complex problems in computational mechanics. While traditional finite element methods require the construction ...

    Jennifer E. Fromm, Nils Wunsch, Kurt Maute, John A. Evans in Computational Mechanics (2024)

  2. Article

    Open Access

    A multi-resolution physics-informed recurrent neural network: formulation and application to musculoskeletal systems

    This work presents a multi-resolution physics-informed recurrent neural network (MR PI-RNN), for simultaneous prediction of musculoskeletal (MSK) motion and parameter identification of the MSK systems. The MSK...

    Karan Taneja, **aolong He, QiZhi He, Jiun-Shyan Chen in Computational Mechanics (2024)

  3. Article

    Open Access

    Support vector machine guided reproducing kernel particle method for image-based modeling of microstructures

    This work presents an approach for automating the discretization and approximation procedures in constructing digital representations of composites from micro-CT images featuring intricate microstructures. The...

    Yanran Wang, Jonghyuk Baek, Yichun Tang, **g Du, Mike Hillman in Computational Mechanics (2024)

  4. Article

    Open Access

    Automated shape and thickness optimization for non-matching isogeometric shells using free-form deformation

    Isogeometric analysis (IGA) has emerged as a promising approach in the field of structural optimization, benefiting from the seamless integration between the computer-aided design (CAD) geometry and the analys...

    Han Zhao, David Kamensky, John T. Hwang, Jiun-Shyan Chen in Engineering with Computers (2024)

  5. Article

    Open Access

    Benchmarking Computational Shell Models

    The practice of verification of shell finite element formulations is discussed from a variety of viewpoints: The provenance of benchmark target values, the suitability of benchmark problems for different class...

    Petr Krysl, Jiun-Shyan Chen in Archives of Computational Methods in Engineering (2023)

  6. Article

    Open Access

    A 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...

    Jonghyuk Baek, Ryan T. Schlinkman in Advanced Modeling and Simulation in Engine… (2022)

  7. Article

    Open Access

    A 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...

    Jonghyuk Baek, Jiun-Shyan Chen, Guohua Zhou, Kevin P. Arnett in Computational Mechanics (2021)

  8. Article

    Open Access

    A 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...

    Tsung-Hui Huang, Jiun-Shyan Chen, Michael R. Tupek in Computational Mechanics (2021)

  9. Article

    Open Access

    Level set topology optimization for design-dependent pressure loads using the reproducing kernel particle method

    This paper presents a level set topology optimization method in combination with the reproducing kernel particle method (RKPM) for the design of structures subjected to design-dependent pressure loads. RKPM al...

    Andreas Neofytou, Renato Picelli in Structural and Multidisciplinary Optimizat… (2020)

  10. No Access

    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...

    Tsung-Hui Huang, Haoyan Wei, Jiun-Shyan Chen in Computational Particle Mechanics (2020)

  11. No Access

    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 ...

    Georgios Moutsanidis, Jacob J. Koester in Computational Particle Mechanics (2020)

  12. No Access

    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 ...

    Tsung-Hui Huang, Jiun-Shyan Chen, Haoyan Wei in Computational Particle Mechanics (2020)

  13. No Access

    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...

    Qizhi He, Jiun-Shyan Chen, Camille Marodon in Computational Mechanics (2019)

  14. 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.

    Shih-Po Lin, Jiun-Shyan Chen, Shixue Liang in Computational Mechanics (2018)

  15. No Access

    Article

    Analysis of hot cracking during lap joint laser welding processes using the melting state-based thermomechanical modeling approach

    Although lap joint laser welding is in great demand in practice, very limited numerical studies have been performed to investigate the hot cracking behavior in this welding configuration. This is because the t...

    Qizhi He, Haoyan Wei, Jiun-Shyan Chen in The International Journal of Advanced Manu… (2018)

  16. No Access

    Article

    Numerical investigation of statistical variation of concrete damage properties between scales

    Concrete is typically treated as a homogeneous material at the continuum scale. However, the randomness in micro-structures has profound influence on its mechanical behavior. In this work, the relationship of ...

    Shixue Liang, Jiun-Shyan Chen, Jie Li, Shih-Po Lin in International Journal of Fracture (2017)

  17. No Access

    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...

    **aowo Wang, Arun Prakash, Jiun-Shyan Chen, Ertugrul Taciroglu in Computational Mechanics (2017)

  18. No Access

    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 ...

    Michael J. Roth, Jiun-Shyan Chen, Thomas R. Slawson in Computational Mechanics (2016)

  19. No Access

    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...

    Shih-Po Lin, Jiun-Shyan Chen, Shixue Liang in Computational Mechanics (2016)

  20. No Access

    Reference Work Entry In depth

    Meshless and Meshfree Methods

    Jiun-Shyan Chen, Ted Belytschko in Encyclopedia of Applied and Computational Mathematics (2015)

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