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Open AccessInterpolation-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 ...
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Article
Open AccessA 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...
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Article
Open AccessSupport 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...
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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...
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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...
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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...
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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.
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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...
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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...