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A general-purpose meshfree Kirchhoff–Love shell formulation
A thin shell formulation is developed for the approximation by a meshfree Reproducing Kernel Particle Method (RKPM). The formulation is …
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Smoothed naturally stabilized RKPM for non-linear explicit dynamics with novel stress gradient update
A smoothed naturally stabilized conforming nodal integration (S-NSNI) for the reproducing kernel particle method (RKPM) is proposed for …
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A smooth Crack-Band Model for anisotropic materials: Continuum theory and computations with the RKPM meshfree method
A smooth Crack Band Model (sCBM) is developed for anisotropic materials with both high and low magnitude of anisotropy. sCBM is …
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Modeling concrete deposition via 3D printing using reproducing kernel particle method
The quality and geometry conformity of 3D concrete printing are the two major concerns facing autonomous construction. To investigate …
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A stable formulation of correspondence‐based peridynamics with a computational structure of a method using nodal integration
In this paper, we lay out a variational framework for correspondence‐based peridynamic (PD) formulations of solid mechanics. Using the …
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Upwind reproducing kernel collocation method for convection-dominated problems
Because of the best approximation property, traditional Bubnov–Galerkin numerical methods have proven immensely successful in modeling …
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Temporal stability of collocation, Petrov–Galerkin, and other non-symmetric methods in elastodynamics and an energy conserving time integration
Non-symmetric matrices may arise in the discretization of self-adjoint problems when a Petrov–Galerkin, collocation, or finite-volume …
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Consistent immersed volumetric Nitsche methods for composite analysis
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Arbitrary order recursive formulation of meshfree gradients with application to superconvergent collocation analysis of Kirchhoff plates
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A quasi-consistent integration method for efficient meshfree analysis of Helmholtz problems with plane wave basis functions
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