耦合隐式 MPM-FEM 中的隐式梯度增强微平面损伤材料模型

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures Pub Date : 2024-10-13 DOI:10.1016/j.compstruc.2024.107559

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引用次数: 0

摘要

本文采用隐式时间积分方案，在非局部力学的基础上将材料点法（MPM）和有限元法（FEM）结合起来，提出了一种新颖的计算方法。该方法采用有限变形的构成公式来描述纤维增强混凝土。利用微平面框架内的损伤方法来捕捉混凝土结构中的诱导各向异性。此外，微平面模型还能捕捉到纤维夹杂导致的初始各向异性。此外，在对软化现象建模时，利用隐式梯度增强来克服数值不稳定性问题。本报告提供了一些数值示例，以证明这一新方法能够以可靠的物理方式将 MPM 和 FEM 之间的机械场和非局部场耦合起来。

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An implicit gradient-enhanced microplane damage material model in the coupled implicit MPM-FEM

The contribution at hand introduces a novel formulation that couples the Material Point Method (MPM) and Finite Element Method (FEM) based on nonlocal mechanics using an implicit time integration scheme. A constitutive formulation at finite deformations to describe fiber-reinforced concrete is applied. A damage approach within the microplane framework is utilized to capture the induced anisotropy in concrete structures. Furthermore, the microplane model is able to capture the initial anisotropy due to fiber inclusion. In addition, an implicit gradient enhancement is utilized to overcome problems of numerical instabilities when modeling softening phenomena. Numerical examples are presented to demonstrate the capability of this new approach to couple the mechanical and nonlocal fields between MPM and FEM in a reliable and physical manner.

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来源期刊

Computers & Structures 工程技术-工程：土木

CiteScore

8.80

自引率

6.40%

发文量

122

审稿时长

33 days

期刊介绍： Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.