Phase field model for fracture analysis of functionally graded power-based shell structures

被引：18
作者：
Guillen-Hernandez, T. [1 ]
Reinoso, J. [2 ]
Paggi, M. [1 ]
机构：
[1] IMT Sch Adv Studies Lucca, Lucca, Italy
[2] Univ Seville, Sch Engn, Elast & Strength Mat Grp, Camino Descubrimientos S-N, Seville 41092, Spain
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2022年 / 29卷 / 01期
关键词：
ANS; EAS; functionally graded materials; phase field approach to fracture; phase field length; shells; GEOMETRICALLY NONLINEAR-ANALYSIS; THIN-WALLED STRUCTURES; BRITTLE-FRACTURE; LATTICE STRUCTURES; FORMULATION; ELEMENTS; COMPOSITES; PLATES; IMPLEMENTATION; PROPAGATION;
D O I：
10.1080/15376494.2020.1751354
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The phase field (PF) approach to fracture has emerged as a promising modeling tool that regularizes the variational fracture theory by Griffith via the introduction of a coupled nonlocal damage-like field. In this work, we outline a PF formulation for triggering brittle fracture phenomena in shell structures made of Functionally Graded Materials (FGMs). This model relies on the 6-parameter shell formulation complying with a solid shell kinematic description and incorporates the use of the Enhanced Assumed Strain (EAS) and Assumed Natural Strain (ANS) methods in order to alleviate locking pathologies. The corresponding multi-field variational formalisms is consistently derived and discretized within the context of the Finite Element Method (FEM). Details regarding the implementation in the general purpose FE packages are outlined. The applicability of this model is demonstrated by means of several numerical applications.
引用
收藏
页码：78 / 88
页数：11
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