iGIMP: An implicit generalised interpolation material point method for large deformations
نویسندگان
چکیده
منابع مشابه
The Generalized Interpolation Material Point Method
The Material Point Method (MPM) discrete solution procedure for computational solid mechanics is generalized using a variational form and a Petrov– Galerkin discretization scheme, resulting in a family of methods named the Generalized Interpolation Material Point (GIMP) methods. The generalization permits identification with aspects of other point or node based discrete solution techniques whic...
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A time-implicit discretization is derived and validated for the material-point method (MPM). The resulting non-linear, discrete equations are solved using Newton’s method combined with either the conjugate gradient method or the generalized minimum residual method. These Newton-Krylov solvers are implemented in a matrix-free fashion for numerical efficiency. A description of the algorithms and ...
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This paper reformulates the axisymmetric form of the material point method (MPM) using generalized interpolation material point (GIMP) methods. The reformulation led to a need for new shape functions and gradients specific for axisymmetry that were not available before. The new shape functions differ most from planar shape functions near the origin where r = 0. A second purpose for this paper w...
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ژورنال
عنوان ژورنال: Computers & Structures
سال: 2017
ISSN: 0045-7949
DOI: 10.1016/j.compstruc.2017.05.004