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17 Result(s)

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  1. No Access

    Article

    Frequency convergence characteristics of lumped mass Galerkin meshfree methods

    Due to the considerable complexity of meshfree approximants, there still lacks a rational theoretical estimate on the frequency accuracy of lumped mass meshfree methods. In this study, a detailed theoretical a...

    Dongdong Wang, Saisai Fu, Like Deng, Zhiwei Lin in Computational Mechanics (2024)

  2. No Access

    Article

    An aspect ratio dependent lumped mass formulation for serendipity finite elements with severe side-length discrepancy

    The frequency solutions of finite elements may significantly deteriorate as the mesh aspect ratios become large, which implies a severe element side-length discrepancy. In this work, an aspect ratio dependent ...

    Songyang Hou, **wei Li, Zhiwei Lin, Dongdong Wang in Computational Mechanics (2024)

  3. No Access

    Article

    A unified reproducing kernel gradient smoothing Galerkin meshfree approach to strain gradient elasticity

    A unified reproducing kernel gradient smoothing formulation is presented for efficient Galerkin meshfree analysis of strain gradient elasticity problems with particular reference to high order basis functions,...

    Honghui Du, Junchao Wu, Dongdong Wang, Jian Chen in Computational Mechanics (2022)

  4. No Access

    Article

    A least squares recursive gradient meshfree collocation method for superconvergent structural vibration analysis

    A least squares recursive gradient meshfree collocation method is proposed for the superconvergent computation of structural vibration frequencies. The proposed approach employs the recursive gradients of mesh...

    Like Deng, Dongdong Wang, Dongliang Qi in Computational Mechanics (2021)

  5. No Access

    Article

    A Petrov–Galerkin finite element-meshfree formulation for multi-dimensional fractional diffusion equations

    Meshfree methods with arbitrary order smooth approximation are very attractive for accurate numerical modeling of fractional differential equations, especially for multi-dimensional problems. However, the non-...

    Zeng Lin, Dongdong Wang, Dongliang Qi, Like Deng in Computational Mechanics (2020)

  6. No Access

    Article

    Arbitrary order recursive formulation of meshfree gradients with application to superconvergent collocation analysis of Kirchhoff plates

    A general arbitrary order recursive gradient formulation is presented for meshfree approximation. According to this method, an nth order recursive meshfree gradient is formulated as an interpolation of the (n − 1...

    Dongdong Wang, Jiarui Wang, Junchao Wu in Computational Mechanics (2020)

  7. No Access

    Article

    An efficient gradient smoothing meshfree formulation for the fourth-order phase field modeling of brittle fracture

    A reproducing kernel gradient smoothing meshfree formulation is proposed for the fourth-order phase field modeling of brittle fracture. In order to circumvent the complexity and lower efficiency of meshfree gr...

    Junchao Wu, Dongdong Wang, Zeng Lin, Dongliang Qi in Computational Particle Mechanics (2020)

  8. No Access

    Article

    A finite element formulation preserving symmetric and banded diffusion stiffness matrix characteristics for fractional differential equations

    Due to the nonlocal property of the fractional derivative, the finite element analysis of fractional diffusion equation often leads to a dense and non-symmetric stiffness matrix, in contrast to the conventiona...

    Zeng Lin, Dongdong Wang in Computational Mechanics (2018)

  9. No Access

    Article

    A unified quadrature-based superconvergent finite element formulation for eigenvalue computation of wave equations

    A simple and unified finite element formulation is presented for superconvergent eigenvalue computation of wave equations ranging from 1D to 3D. In this framework, a general method based upon the so called ...

    Dongdong Wang, **wei Li, Feixu Pan in Computational Mechanics (2017)

  10. No Access

    Article

    A superconvergent isogeometric formulation for eigenvalue computation of three dimensional wave equation

    A superconvergent isogeometric formulation is presented to compute the eigenvalues for three dimensional wave equation. This three dimensional superconvergent isogeometric formulation is characterized by a hig...

    Dongdong Wang, Qingwen Liang, Hanjie Zhang in Computational Mechanics (2016)

  11. No Access

    Article

    Upper bound shakedown analysis with the nodal natural element method

    In this paper, a novel numerical solution procedure is developed for the upper bound shakedown analysis of elastic-perfectly plastic structures. The nodal natural element method (nodal-NEM) combines the advant...

    Shutao Zhou, Yinghua Liu, Dongdong Wang, Kai Wang, Suyuan Yu in Computational Mechanics (2014)

  12. No Access

    Article

    Quasi-convex reproducing kernel meshfree method

    A quasi-convex reproducing kernel approximation is presented for Galerkin meshfree analysis. In the proposed meshfree scheme, the monomial reproducing conditions are relaxed to maximizing the positivity of the...

    Dongdong Wang, Pengjie Chen in Computational Mechanics (2014)

  13. No Access

    Article

    A Hermite reproducing kernel Galerkin meshfree approach for buckling analysis of thin plates

    A Hermite reproducing kernel Galerkin meshfree approach is proposed for buckling analysis of thin plates. This approach employs the Hermite reproducing kernel meshfree approximation that incorporates both the ...

    Dongdong Wang, Huikai Peng in Computational Mechanics (2013)

  14. No Access

    Article

    Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures

    A dispersion analysis is carried out to study the dynamic behavior of the Hermite reproducing kernel (HRK) Galerkin meshfree formulation for thin beam and plate problems. The HRK approximation utilizes both th...

    Dongdong Wang, Zhenting Lin in Computational Mechanics (2011)

  15. No Access

    Article

    Free vibration analysis of thin plates using Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration

    A Hermite reproducing kernel (HRK) Galerkin meshfree formulation is presented for free vibration analysis of thin plates. In the HRK approximation the plate deflection is approximated by the deflection as well...

    Dongdong Wang, Zhenting Lin in Computational Mechanics (2010)

  16. No Access

    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...

    Dongdong Wang, Jiun-Shyan Chen in Computational Mechanics (2006)

  17. No Access

    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...

    Jiun-Shyan Chen, Dongdong Wang in Meshfree Methods for Partial Differential Equations II (2005)