The plane thermoelastic analysis of asymmetric collinear crack interactions in one-dimensional hexagonal quasicrystals

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling Pub Date : 2025-03-13 DOI:10.1016/j.apm.2025.116094

Shaonan Lu , Shenghu Ding , Yuanyuan Ma , Baowen Zhang , Xuefen Zhao , Xing Li

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引用次数: 0

Abstract

The interaction between cracks is the main cause of material failure when the material contains multiple cracks. Using the classical Kachanov method and Fourier integral transformation, the thermoelastic behavior of one-dimensional hexagonal (1DH) quasicrystals (QCs) containing two asymmetric collinear cracks in a non-periodic plane is studied. Considering the interaction between cracks, the solutions of the thermal stress intensity factors (TSIFs), and strain energy density factors (SEDFs) are determined. Numerical results analyze the influence of the coupling coefficients, external loads, thermal conductivity and crack interaction coefficients on the temperature, TSIFs and SEDFs. The results show that when the spacing between cracks is smaller than the length of each crack, the collinear cracks will influence each other more. The propagation of cracks can be suppressed by selecting QCs with appropriate coupling coefficients. These results enhance the understanding of crack interaction mechanisms in QCs and the impact of micro-cracks on the main crack, with a novel contribution being the comprehensive consideration of both crack interaction in QCs using the Kachanov method.

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来源期刊

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.