An Implicit High-order Material Point Method
نویسندگان
چکیده
منابع مشابه
High order material point method
The material point method (MPM) is a meshfree mixed Lagrangian-Eulerian method which utilizes moving Lagrangian material points that store physical properties of a deforming continuum and a fixed Eulerian finite element mesh to solve the equations of motion for individual time steps. MPM proved to be successful in simulating mechanical problems which involve large deformations of history-depend...
متن کاملImplicit Dynamics in the Material-Point Method
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 ...
متن کاملHigh-accuracy alternating segment explicit-implicit method for the fourth-order heat equation
Based on a group of new Saul’yev type asymmetric difference schemes constructed by author, a high-order, unconditionally stable and parallel alternating segment explicit-implicit method for the numerical solution of the fourth-order heat equation is derived in this paper. The truncation error is fourth-order in space, which is much more accurate than the known alternating segment explicit-impli...
متن کاملAn implicit time integration strategy for use with the material point method
An implicit integration strategy for use with the Material Point Method (MPM) is described. This strategy uses an incremental–iterative solution strategy based on a Newton method to solve the equations of motion and Newmark integration to update the kinematic variables. An example problem was used to compare the implicit integration scheme to the traditional explicit integration scheme used wit...
متن کاملAn Evaluation of the Material Point Method
The theory and algorithm for the Material Point Method (MPM) are documented, with a detailed discussion on the treatments of boundary conditions and shock wave problems. A step-by-step solution scheme is written based on direct inspection of the two-dimensional MPM code currently used at the University of Missouri-Columbia (which is, in turn, a legacy of the University of New Mexico code). To t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Procedia Engineering
سال: 2017
ISSN: 1877-7058
DOI: 10.1016/j.proeng.2017.01.003