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Nonlinear Finite Elements for Continua and Structures
Preface. List of Boxes. Introduction. Lagrangian and Eulerian Finite Elements in One Dimension. Continuum Mechanics. Lagrangian Meshes. Constitutive Models Solution Methods and Stability. ArbitraryExpand
Reproducing kernel particle methods
A new continuous reproducing kernel interpolation function which explores the attractive features of the flexible time-frequency and space-wave number localization of a window function is developed.Expand
Lagrangian-Eulerian finite element formulation for incompressible viscous flows☆
Abstract A transient, finite element formulation is given for incompressible viscous flows in an arbitrarily mixed Lagrangian-Eulerian description. The procedures developed are appropriate forExpand
Coupling of atomistic and continuum simulations using a bridging scale decomposition
We present a new method for coupling molecular dynamics (MD) and continuum mechanics simulations that is based on the projection of the MD solution onto the coarse scale shape functions. ThisExpand
Immersed finite element method
Abstract In this paper, the immersed finite element method (IFEM) is proposed for the solution of complex fluid and deformable structure interaction problems encountered in many physical models. InExpand
Mechanics of carbon nanotubes
TLDR
The theoretical predictions and the experimental techniques that are most often used for the challenging tasks of visualizing and manipulating these tiny structures are reviewed and the computational approaches taken, including ab initio quantum mechanical simulations, classical molecular dynamics, and continuum models are outlined. Expand
Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures
Abstract Large deformation analysis of non-linear elastic and inelastic structures based on Reproducing Kernel Particle Methods (RKPM) is presented. The method requires no explicit mesh inExpand
Reproducing kernel particle methods for structural dynamics
This paper explores a Reproducing Kernel Particle Method (RKPM) which incorporates several attractive features. The emphasis is away from classical mesh generated elements in favour of a mesh freeExpand
Moving least-square reproducing kernel methods (I) Methodology and convergence
This paper formulates the moving least-square interpolation scheme in a framework of the so-called moving least-square reproducing kernel (MLSRK) representation. In this study, the procedure ofExpand
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