scholarly journals A stabilized mixed implicit Material Point Method for non-linear incompressible solid mechanics

2018 ◽  
Vol 63 (6) ◽  
pp. 1243-1260 ◽  
Author(s):  
I. Iaconeta ◽  
A. Larese ◽  
R. Rossi ◽  
E. Oñate
Keyword(s):  
Solid Mechanics ◽  
Material Point Method ◽  
Material Point ◽  
Point Method ◽  
Non Linear

scholarly journals Stochastic Material Point Method for Analysis in Non-Linear Dynamics of Metals

Metals ◽  
2019 ◽  
Vol 9 (1) ◽  
pp. 107
Author(s):  
Weidong Chen ◽  
Yaqin Shi ◽  
Jingxin Ma ◽  
Chunlong Xu ◽  
Shengzhuo Lu ◽  
...  
Keyword(s):  
Stochastic Dynamics ◽  
Material Point Method ◽  
Taylor Series Expansion ◽  
Material Point ◽  
Point Method ◽  
Strong Nonlinearity ◽  
Computational Domain ◽  
Linear Dynamics ◽  
Non Linear ◽  
Dynamics Problems

A stochastic material point method is proposed for stochastic analysis in non-linear dynamics of metals with varying random material properties. The basic random variables are parameters of equation of state and those of constitutive equation. In conjunction with the material point method, the Taylor series expansion is employed to predict first- and second-moment characteristics of structural response. Unlike the traditional grid methods, the stochastic material point method does not require structured mesh; instead, only a scattered cluster of nodes is required in the computational domain. In addition, there is no need for fixed connectivity between nodes. Hence, the stochastic material point method is more suitable than the stochastic method based on grids, when solving dynamics problems of metals involving large deformations and strong nonlinearity. Numerical examples show good agreement between the results of the stochastic material point method and Monte Carlo simulation. This study examines the accuracy and convergence of the stochastic material point method. The stochastic material point method offers a new option when solving stochastic dynamics problems of metals involving large deformation and strong nonlinearity, since the method is convenient and efficient.

Simulation of Soft Tissue Failure Using the Material Point Method

2006 ◽  
Vol 128 (6) ◽  
pp. 917-924 ◽  
Author(s):  
Irina Ionescu ◽  
James E. Guilkey ◽  
Martin Berzins ◽  
Robert M. Kirby ◽  
Jeffrey A. Weiss
Keyword(s):  
Soft Tissue ◽  
Constitutive Model ◽  
Simple Shear ◽  
Solid Mechanics ◽  
Soft Tissues ◽  
Material Point Method ◽  
Material Point ◽  
Point Method ◽  
Time Step ◽  
Soft Tissue Failure

Understanding the factors that control the extent of tissue damage as a result of material failure in soft tissues may provide means to improve diagnosis and treatment of soft tissue injuries. The objective of this research was to develop and test a computational framework for the study of the failure of anisotropic soft tissues subjected to finite deformation. An anisotropic constitutive model incorporating strain-based failure criteria was implemented in an existing computational solid mechanics software based on the material point method (MPM), a quasi-meshless particle method for simulations in computational mechanics. The constitutive model and the strain-based failure formulations were tested using simulations of simple shear and tensile mechanical tests. The model was then applied to investigate a scenario of a penetrating injury: a low-speed projectile was released through a myocardial material slab. Sensitivity studies were performed to establish the necessary grid resolution and time-step size. Results of the simple shear and tensile test simulations demonstrated the correct implementation of the constitutive model and the influence of both fiber family and matrix failure on predictions of overall tissue failure. The slab penetration simulations produced physically realistic wound tracts, exhibiting diameter increase from entrance to exit. Simulations examining the effect of bullet initial velocity showed that the anisotropy influenced the shape and size of the exit wound more at lower velocities. Furthermore, the size and taper of the wound cavity was smaller for the higher bullet velocity. It was concluded that these effects were due to the amount of momentum transfer. The results demonstrate the feasibility of using MPM and the associated failure model for large-scale numerical simulations of soft tissue failure.

scholarly journals A Hybrid Material Point Method for Frictional Contact with Diverse Materials

2019 ◽  
Vol 2 (2) ◽  
pp. 1-24 ◽  
Author(s):  
Xuchen Han ◽  
Theodore F. Gast ◽  
Qi Guo ◽  
Stephanie Wang ◽  
Chenfanfu Jiang ◽  
...  
Keyword(s):  
Hybrid Material ◽  
Frictional Contact ◽  
Material Point Method ◽  
Material Point ◽  
Point Method

Three-dimensional face stability analysis of shallow tunnels using numerical limit analysis and material point method

2021 ◽  
Vol 112 ◽  
pp. 103904
Author(s):  
Fabricio Fernández ◽  
Jhonatan E.G. Rojas ◽  
Eurípedes A. Vargas ◽  
Raquel Q. Velloso ◽  
Daniel Dias
Keyword(s):  
Stability Analysis ◽  
Limit Analysis ◽  
Three Dimensional ◽  
Material Point Method ◽  
Material Point ◽  
Point Method ◽  
Face Stability ◽  
Shallow Tunnels ◽  
Dimensional Face

A moving least squares material point method with displacement discontinuity and two-way rigid body coupling

2018 ◽  
Vol 37 (4) ◽  
pp. 1-14 ◽  
Author(s):  
Yuanming Hu ◽  
Yu Fang ◽  
Ziheng Ge ◽  
Ziyin Qu ◽  
Yixin Zhu ◽  
...  
Keyword(s):  
Rigid Body ◽  
Least Squares ◽  
Material Point Method ◽  
Material Point ◽  
Point Method ◽  
Displacement Discontinuity ◽  
Moving Least Squares

scholarly journals Dam Breach Simulation with the Material Point Method

Computation ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 8
Author(s):  
Chendi Cao ◽  
Mitchell Neilsen
Keyword(s):  
Material Point Method ◽  
Mixture Theory ◽  
Material Point ◽  
Point Method ◽  
Internal Erosion ◽  
Dam Breach ◽  
New Model ◽  
Hencky Strain ◽  
The Impact ◽  
Soil And Water

Dam embankment breaches caused by overtopping or internal erosion can impact both life and property downstream. It is important to accurately predict the amount of erosion, peak discharge, and the resulting downstream flow. This paper presents a new model based on the material point method to simulate soil and water interaction and predict failure rate parameters. The model assumes that the dam consists of a homogeneous embankment constructed with cohesive soil, and water inflow is defined by a hydrograph using other readily available reach routing software. The model uses continuum mixture theory to describe each phase where each species individually obeys the conservation of mass and momentum. A two-grid material point method is used to discretize the governing equations. The Drucker–Prager plastic flow model, combined with a Hencky strain-based hyperelasticity model, is used to compute soil stress. Water is modeled as a weakly compressible fluid. Analysis of the model demonstrates the efficacy of our approach for existing examples of overtopping dam breach, dam failures, and collisions. Simulation results from our model are compared with a physical-based breach model, WinDAM C. The new model can capture water and soil interaction at a finer granularity than WinDAM C. The new model gradually removes the granular material during the breach process. The impact of material properties on the dam breach process is also analyzed.

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