Improved double-phase-field algorithm based on scaled boundary finite element method for rock-like materials

IF 5 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics Pub Date : 2025-03-12 DOI:10.1016/j.tafmec.2025.104916

Yue Zhuo, Degao Zou, Kai Chen, Yongqian Qu, Guoyang Yi, Shanlin Tian

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引用次数: 0

Abstract

The study of cracking analysis algorithms for rock-like materials is an important branch in the development of solid mechanics, and the related results have received extensive attention from researchers around the world. To broaden the generalizability of the phase-field method, an improved double-phase-field (DPF) algorithm based on the Scaled Boundary Finite Element Method (SBFEM) is presented. Firstly, the main governing equations are deduced and interpreted based on the nonlinear SBFEM framework. Secondly, the flexible polygon class library, data structure and solving framework for DPFM are designed by object-oriented programming. Subsequently, the presented algorithm is integrated in the self-developed finite element software GEODYNA. Thirdly, the precision is demonstrated by three classic examples, and its efficiency and practicality for complex mixed-mode fractures are validated with three case studies. Obviously, the tensile and compressive-shear mixed-mode fracture mode can be reproduced realistically, and the efficient quadtree grids can be utilized directly, making the efficiency to be optimized by more than 75% in representative cases. More potential for practical applications would be further elucidated with extending the proposed method to three-dimensional.

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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.