Tresca vs. von Mises: Which failure criterion is more conservative in a probabilistic context?

IF 2.6 4区 工程技术 Q2 MECHANICS Journal of Applied Mechanics-Transactions of the Asme Pub Date : 2023-10-26 DOI:10.1115/1.4063894
Americo Cunha, Yasar Yanik, Carlo Olivieri, Samuel da Silva
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Abstract

Abstract This tutorial examines the failure theories of Tresca and von Mises, both of which are crucial for designing metallic structures. Conventionally, Tresca is regarded as more conservative than von Mises from a deterministic perspective. This tutorial, however, introduces a different viewpoint, presenting a scenario where von Mises theory may appear more conservative when variability in the mechanical system parameters is considered. This often overlooked aspect is not extensively addressed in standard textbooks on solid mechanics and the strength of materials. The tutorial aims to shed light on the non-negligible probability where von Mises criterion yields a smaller equivalent stress than Tresca, thus being more conservative. It underscores the importance of integrating probabilistic considerations into stress analyses of solids, offering valuable insights for the education of structural mechanics.
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Tresca vs. von Mises:在概率背景下哪个失效准则更保守?
本教程探讨了特雷斯卡和米塞斯的失效理论,这两者都是设计金属结构的关键。通常,从决定论的角度来看,特雷斯卡被认为比米塞斯更保守。然而,本教程介绍了一个不同的观点,提出了一个场景,当考虑到机械系统参数的可变性时,von Mises理论可能会显得更保守。在固体力学和材料强度的标准教科书中,这个经常被忽视的方面没有得到广泛的讨论。本教程旨在阐明von Mises准则产生比Tresca更小的等效应力的不可忽略的概率,从而更保守。它强调了将概率因素整合到固体应力分析中的重要性,为结构力学的教育提供了有价值的见解。
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
CiteScore
4.80
自引率
3.80%
发文量
95
审稿时长
5.8 months
期刊介绍: All areas of theoretical and applied mechanics including, but not limited to: Aerodynamics; Aeroelasticity; Biomechanics; Boundary layers; Composite materials; Computational mechanics; Constitutive modeling of materials; Dynamics; Elasticity; Experimental mechanics; Flow and fracture; Heat transport in fluid flows; Hydraulics; Impact; Internal flow; Mechanical properties of materials; Mechanics of shocks; Micromechanics; Nanomechanics; Plasticity; Stress analysis; Structures; Thermodynamics of materials and in flowing fluids; Thermo-mechanics; Turbulence; Vibration; Wave propagation
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