Effect of porosity gradient on fracture mechanics of bi-directional FGM structures: Phase field approach

IF 5 2区工程技术 Q1 ENGINEERING, MECHANICAL Theoretical and Applied Fracture Mechanics Pub Date : 2024-10-23 DOI:10.1016/j.tafmec.2024.104723

H. Mellouli , I. Messaoudi , H. Mallek , M. Wali , F. Dammak

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Abstract

This research aims to develop a computational model that can accurately predict the fracture behavior of porous bi-directional Functionally Graded Materials (FGMs). The Voigt model for homogenization, is established to account the effects of porosity fraction and gradient distribution within the FGMs, providing valuable insights about the brittle crack propagation. The study employs the UMAT subroutine in ABAQUS software and establishes an analogy between the phase field evolution law and the heat transfer equation, enabling efficient analysis of complex fracture problems. To validate the model, 2D fracture benchmark cases are analyzed, demonstrating its ability to capture different failure modes and the intricate material behavior of porous FGMs under fracture conditions. Furthermore, newly parametric analyses, that highlights the impact of various values of porosity’s volume fraction and FGM’s power law indexes on the brittle fracture path, are conducted to further validate the effectiveness of the newly developed phase field model in predicting the fracture behavior of bi-directional porous FGMs.

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孔隙率梯度对双向 FGM 结构断裂力学的影响：相场方法

本研究旨在开发一种能够准确预测多孔双向功能分级材料（FGMs）断裂行为的计算模型。建立的均质化 Voigt 模型考虑了 FGM 内部孔隙率和梯度分布的影响，为脆性裂纹扩展提供了有价值的见解。研究采用了 ABAQUS 软件中的 UMAT 子程序，并在相场演化规律和传热方程之间建立了类比关系，从而实现了对复杂断裂问题的高效分析。为了验证该模型，我们对二维断裂基准案例进行了分析，证明该模型能够捕捉多孔脱硫玻纤材料在断裂条件下的不同失效模式和复杂的材料行为。此外，为了进一步验证新开发的相场模型在预测双向多孔 FGM 断裂行为方面的有效性，还进行了新的参数分析，强调了不同的孔隙率体积分数值和 FGM 功率定律指数对脆性断裂路径的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theoretical and Applied Fracture Mechanics 工程技术-工程：机械

CiteScore

8.40

自引率

18.90%

发文量

435

审稿时长

37 days

期刊介绍： Theoretical and Applied Fracture Mechanics'' aims & scopes have been re-designed to cover both the theoretical, applied, and numerical aspects associated with those cracking related phenomena taking place, at a micro-, meso-, and macroscopic level, in materials/components/structures of any kind. The journal aims to cover the cracking/mechanical behaviour of materials/components/structures in those situations involving both time-independent and time-dependent system of external forces/moments (such as, for instance, quasi-static, impulsive, impact, blasting, creep, contact, and fatigue loading). Since, under the above circumstances, the mechanical behaviour of cracked materials/components/structures is also affected by the environmental conditions, the journal would consider also those theoretical/experimental research works investigating the effect of external variables such as, for instance, the effect of corrosive environments as well as of high/low-temperature.