Monte Carlo Simulation for Exploring Mechanical Properties of Porous Materials Based on Scaled Boundary Finite Element Method

Guangying Liu,Kuiyu Zhao,Ran Guo,Runjie Wang

doi:10.3390/app12020575

Abstract

The existence of pores is a very common feature of nature and of human life, but the existence of pores will alter the mechanical properties of the material. Therefore, it is very important to study the impact of different influencing factors on the mechanical properties of porous materials and to use the law of change in mechanical properties of porous materials for our daily lives. The SBFEM (scaled boundary finite element method) method is used in this paper to calculate a large number of random models of porous materials derived from Matlab code. Multiple influencing factors can be present in these random models. Based on the Monte Carlo simulation, after a large number of model calculations were carried out, the results of the calculations were analyzed statistically in order to determine the variation law of the mechanical properties of porous materials. Moreover, this paper gives fitting formulas for the mechanical properties of different materials. This is very useful for researchers estimating the mechanical properties of porous materials in advance.

Highlights

When people understand how mechanical characteristics of porous materials vary as a result of various influencing variables
The SBFEM employed in this study combines the benefits of both finite element and boundary element methods while avoiding the drawbacks of both
The goal of this study is to discover the variation law of porous materials under various influencing circumstances and to derive an appropriate formula for predicting the mechanical characteristics of various porous materials

Summary

Introduction

Model conditions wereofasBasic follows: the model’s left side was fixed, while the right s an elastic modulus of E = 22.5 GPa and a Poisson’s ratio of v = 0.2. Shale containing aThe large of while pores used the research conditions were as follows: the model’s left side fixed, theisright sideas was given this work the is The toporosity investigate the modulus change lawstress of mechanical characteris agoal. Of shale rock is and between goal of this work is to investigate the change law of mechanical characteristics of porous by of varying suchminimal as porosity, pore concentration deg amaterials side length. F materials by varying parameters such as porosity, pore concentration degree, and pore number This model isin=used in all of the investigations inthe this article, an elastic modulus of E

Objectives

Methods

Findings

Conclusion