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复杂应力状态下材料屈服和破坏的一个新模型及其系列理论 被引量:5

A NEW MODEL AND NEW THEORETICAL SYSTEM OF YIELD AND FAILURE OF MATERIALS UNDER THE COMPLEX STRESS STATE
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摘要 作者根据应力状态的全面分析,提出一个关于材料在复杂应力状态下屈服和破坏的新模型,即菱形十二面主剪应力单元体或正交八面体的双剪切模型,由此推导出一系列全新的屈服和破坏准则,即双剪应力屈服准则、双剪应变屈服准则、广义双剪应力准则、双剪角隅模型、双剪帽子模型、双剪应力三参数准则及其角隅模型、晶体多滑移的双剪准则等等。这一新的系列准则不仅在理论上比最大剪应力准则的单剪理论更为合理,而且对某些材料比单剪理论更符合实际;此外对材料的利用率也较高,它们可以分别适用于金属、晶体、岩石、土壤、混凝土等材料,并可用于工程分析和计算机应用。 A new theoretical system of yield and failure criteria of materials under the complex stress state' the series of twin shear stress strength theories,are proposed by the author. The dodecahedral model or orthogohal octahedral model of twin shear element is applied to establish these new theories. This-new system of strength theories include a series of criteria as follows:1.Twin shear stress yield criterion based on the two principal shear stresses;2.Twin shear stress yield criterion based on the two pure shear stresses;3.Twin shear stain yield criterin;4.Hydrostatic stress sensitive generalized twin shear stress criterion;5.Normal stress sensittive generalized twin shear stress critertion;6.Smooth ridge model of generalized twin shear stress criterion;7.Twin shear stress three parameter criterion and its corner model; 8.Cap model of generalized twin shear stress criterion;9.Critical twin shear stress criterion of multislip of crysta;10.Anisotropic twin shear stress yield criterin;11.Anisotropic generalized twin shear stress criterion.This new system of twin shear stress strength theories is entirely with better reasons than the single shear stress strength of TrescarMohr-coulo-mb,and more approprite for some materials. They can be used for metal, cry-stal,rock,Soil,concrete and other materials respectively in compute analyses and engineering applications.
作者 俞茂鋐
出处 《力学学报》 EI CSCD 北大核心 1989年第S1期42-49,共8页 Chinese Journal of Theoretical and Applied Mechanics
基金 国家自然科学基金
关键词 屈服准则 破坏准则 双剪应力准则 广义双剪应力准则 双剪应力三参数准则 双剪角隅模型 yield Criterion, Failure Criterion/Twin Shear Stress Criterion, Generalized Twin Shear Stress Criterion Twin Shear Stress Three Parameter Cri-terion,Smooth Corner Model of Twin Shear Stress Criterion,
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参考文献2

  • 1俞茂鋐,刘凤羽.双剪应力三参数准则及其角隅模型[J]土木工程学报,1988(03).
  • 2俞茂鋐,何丽南,宋凌宇.双剪应力强度理论及其推广[J]中国科学(A辑 数学 物理学 天文学 技术科学),1985(12).

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