Numerical, theoretical and experimental validation of the material point method to solve geotechnical engineering problems

作者：Llano Serna M A^*; Farias M M

来源：Revista Internacional de Metodos Numericos Para Calculo y Diseno en Ingenieria, 2016, 32(2): 110-115.

DOI：10.1016/j.rimni.2015.02.008

• Material point method
• Large strains
• Unconfined compression of clay
• Shallow foundations in soft soil
• Slope deformations in cohesive soils

This paper investigates the possibility of using the material point method (MPM) to solve small strains quasi-static problems and dynamic problems related to large distortions. Traditional methods such as the finite element method (FEM) face difficulties when large strains are involved. Therefore, tools such as the MPM have become more important in recent years. As a new tool, the MPM needs to prove its functionality for geotechnical engineering problems. In first place the MPM mathematical formulation is shortly described. Next, numerical simulations of a shallow foundation, an unconfined compression test and a slope problem are performed in an open source MPM code. The results are compared with FEM simulations, analytical solutions and real laboratory tests. The study shows qualitative and quantitative agreement when compared; a better performance of MPM for solving stresses better than strains is detected. The set of simulations validates the MPM to solve geotechnical engineering problems when dealing with small and large strains. However, the traditional FEM showed a better performance for quasi-static cases.

• 出版日期2016-6