Simulations in Materials

H. Tan, 2003
Chapter 12, Combined atomistic and continuum simulation for fracture and corrosion

Comprehensive Structural Integrity (http://www.sciencedirect.com/science/referenceworks/0080437494)
Volume 8: Interfacial and Nanoscale Failure

Interetsed topics include:

• Material Point Method, eXtended Finite Element Method, and other mesh-free methods;
• Combined atomistic and continuum simulations;
• Multiscale homogenization.

Links to other blogs:

Lecture note 14: MPM Homework

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lecture note 13: Interpolating Shape Functions

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lecture note 12: Material Point Method: 2D problems

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Map from particles to grids
Interpolate from grid to particles
Constitutive models
Boundary conditions

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Material Point Method:
Grid Equations
Mass matrix
Lumped mass matrix

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Variational principle
Particle discretization
Grid interpolation

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