{"title":"Numerical modeling of stress state-dependent anisotropic fracture behavior for WE43 alloy","authors":"Pengfei Wu , Yanshan Lou , Qiang Chen","doi":"10.1016/j.cnsns.2025.108872","DOIUrl":null,"url":null,"abstract":"<div><div>Accurate prediction for fracture behavior plays an important role in metal forming process. The study aims to uncover and model the effect of anisotropy and stress state on the fracture behavior of WE43 alloy. The mechanical experiments along 0°, 45°, and 90° between the loading direction and rolling direction (RD, DD and TD) were carried out under tension, compression and shear stress states. It shows that the initial yield stress is with weak anisotropy and negligible tension-compression asymmetry, while the hardening behavior shows some anisotropy related to strain. The plastic ability along DD is preferred to that along RD and TD under uniaxial loading. The fracture behavior belongs to the ductile fracture with tension and shear mechanisms, which is dependent on the stress state and loading direction. An analytical anisotropic Drucker yield function is proposed to capture the evolving yield behavior with non-proportionality. The fracture-related variables from plane strain compression to plane strain tension along different loading directions are obtained with acceptable prediction accuracy by adopting the hybrid experimental-numerical method. A Drucker-DF2016 anisotropic fracture criterion is established based on the linear transformation tensor to characterize the coupling effect of anisotropy and stress state on the fracture behavior of WE43 alloy with an error of 0.054, which is smaller than the error (0.2908) of the Yld91-DF2014 anisotropic fracture criterion. The fracture location in numerical simulation is basically consistent with the fracture location in the experiment. This research provides an analytical yield function and anisotropic fracture model to be applied into the numerical modeling of the yield and fracture behaviors of metals.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108872"},"PeriodicalIF":3.4000,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570425002837","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Accurate prediction for fracture behavior plays an important role in metal forming process. The study aims to uncover and model the effect of anisotropy and stress state on the fracture behavior of WE43 alloy. The mechanical experiments along 0°, 45°, and 90° between the loading direction and rolling direction (RD, DD and TD) were carried out under tension, compression and shear stress states. It shows that the initial yield stress is with weak anisotropy and negligible tension-compression asymmetry, while the hardening behavior shows some anisotropy related to strain. The plastic ability along DD is preferred to that along RD and TD under uniaxial loading. The fracture behavior belongs to the ductile fracture with tension and shear mechanisms, which is dependent on the stress state and loading direction. An analytical anisotropic Drucker yield function is proposed to capture the evolving yield behavior with non-proportionality. The fracture-related variables from plane strain compression to plane strain tension along different loading directions are obtained with acceptable prediction accuracy by adopting the hybrid experimental-numerical method. A Drucker-DF2016 anisotropic fracture criterion is established based on the linear transformation tensor to characterize the coupling effect of anisotropy and stress state on the fracture behavior of WE43 alloy with an error of 0.054, which is smaller than the error (0.2908) of the Yld91-DF2014 anisotropic fracture criterion. The fracture location in numerical simulation is basically consistent with the fracture location in the experiment. This research provides an analytical yield function and anisotropic fracture model to be applied into the numerical modeling of the yield and fracture behaviors of metals.
期刊介绍:
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.