Results 51 to 60 of about 11,008,494 (174)
On a Meshfree Method for Singular Problems [PDF]
, 2002 Interests in meshfree (or meshless) methods have grown rapidly in the recent years in solving boundary value problems arising in mechanics, especially in dealing with difficult problems involving large deformation, moving discontinuities, etc.
Xueping Meng, Weimin Han
core +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT The accurate prediction of displacement and stress fields in pressure vessels is essential for the safe and reliable design of these structures, particularly when dealing with nonlinear behavior such as that of hyperelastic functionally graded materials (FGMs).
Nasser Firouzi +2 more
wiley +1 more source
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2013 Structural topology optimization has been applied to nonlinear structural problems, but conventional methods considering geometrical nonlinearity encounter difficulties during nonlinear analysis using the FEM (Finite Element Method).
Takayuki YAMADA +3 more
doaj +1 more source
Hybrid Equilibrium Element Formulation for Large Displacement Nonlinear Elasticity
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT The present paper proposes an equilibrium‐based finite element formulation for the analysis of large displacement and large strain nonlinear elasticity problems. The proposed formulation is based on the Hybrid Equilibrium Element (HEE) and is developed in an updated Lagrangian framework.
Francesco Parrinello +2 more
wiley +1 more source
Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei +5 more
wiley +1 more source
A Spectrum Analysis of Galerkin Meshfree Method [PDF]
, 2012 A spectrum analysis is presented to study the dynamic performance of Galerkin meshfree method with moving least square or reproducing kernel approximation.
Wang, Dongdong, Xie, Pinkang
core +2 more sources
MathematicsOver the last two decades, meshfree Galerkin methods have become increasingly popular in solid and fluid mechanics applications. A variety of these methods have been developed, each incorporating unique meshfree approximation schemes to enhance their ...
Hongtao Yang, Hao Wang, Bo Li
doaj +1 more source
High frequency modes meshfree analysis of Reissner–Mindlin plates
Journal of Science: Advanced Materials and Devices, 2016 Finite element method (FEM) is well used for modeling plate structures. Meshfree methods, on the other hand, applied to the analysis of plate structures lag a little behind, but their great advantages and potential benefits of no meshing prompt continued
Tinh Quoc Bui +4 more
doaj +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACTLattice systems are indispensable for modeling and analyzing physical phenomena in materials with discrete or heterogeneous micro‐ or meso‐structures. However, the computational requirements for practical engineering applications of lattice systems remain high.
Benjamin Werner +2 more
wiley +1 more source
A Meshfree Splitting Method for Soliton Dynamics in Nonlinear Schroedinger Equations
, 2012 A new method for the numerical simulation of the so-called solitondynamics arising in a nonlinear Schroedinger equation in the semi-classical regime is proposed. For the time discretization a classical fourth-order splitting method is used.
A. Ostermann +5 more
core +1 more source