Effect of Stress Triaxiality on Yielding of Anisotropic Materials under Plane Stress Condition
Publish place: Journal of Solid Mechanics، Vol: 1، Issue: 3
Publish Year: 1388
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JSMA-1-3_006
تاریخ نمایه سازی: 28 مرداد 1402
Abstract:
The triaxiality of the stress state is known to greatly influence the amount of plastic strain which a material may undergo before ductile failure occurs. It is defined as the ratio of hydrostatic pressure, or mean stress, to the von Mises equivalent stress. This paper discusses the effects of stress triaxiality on yielding behavior of anisotropic materials. Hill-von Mises’s criteria for anisotropic material have been used with triaxiality factor (TF). Mathematical model that combines the yield stress and anisotropic ratio R (ratio of width strain to thickness strain) along with triaxiality have been formulated. This model is considered as an objective function subjected to inequality constraint. Constrained optimization is solved using genetic algorithm. The results obtained give the set of principal stresses along with corresponding critical triaxiality which is the maximum value at which the material can sustain without failure. If triaxiality extends further more the material will go to plastic deformation and may prone to failure. In this way, the critical triaxiality of materials can be determined to avoid fracture and failure of materials. This article is important from the industrial application point of view by considering triaxiality as a design parameter while designing the component.
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Authors
S.S Bhadauria
Department of Applied Mechanics, Maulana Azad National Institute of Technology
M.S Hora
Department of Applied Mechanics, Maulana Azad National Institute of Technology
K.K Pathak
Scientist, Advanced Materials Processes Research Institute (CSIR)
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