Journal ArticleDOI
Advances in strength theories for materials under complex stress state in the 20th Century
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A survey of the advances in strength theory (yield criteria, failure criterion, etc) of materials (including matellic materials, rock, soil, concrete, ice, iron, polymers, energetic material etc) under complex stress was presented in this paper.Abstract:
It is 100 years since the well-know Mohr-Coulomb strength theory was established in 1900. A considerable amount of theoretical and experimental research on strength theory of materials under complex stress state was done in the 20th Century. This review article presents a survey of the advances in strength theory (yield criteria, failure criterion, etc) of materials (including matellic materials, rock, soil, concrete, ice, iron, polymers, energetic material, etc) under complex stress, discusses the relationship among various criteria, and gives a method of choosing a reasonable failure criterion for applications in research and engineering. Three series of strength theories, the unified yield criterion, the unified strength theory, and others are summarized. This review article contains 1163 references regarding the strength theories. This review also includes a biref discussion of the computational implementation of the strength theories and multi-axial fatigue.read more
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Journal ArticleDOI
Linear transfomation-based anisotropic yield functions
TL;DR: In this article, two convex formulations are proposed to describe the anisotropic behavior of metals and alloys for a full stress state (3D) in general terms, and the type of input data recommended for the description of plastic anisotropy in sheet samples is discussed.
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Elasticity and Plasticity of Large Deformations
TL;DR: Interfacial Fluid Mechanics: A Mathematical Modeling Approach provides an introduction to mathematical models of viscous flow used in rapidly developing fields of microfluidics and microscale heat transfer as mentioned in this paper.
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Energy Dissipation and Release During Coal Failure Under Conventional Triaxial Compression
TL;DR: In this paper, the authors investigated the relationship between energy transformation and coal failure by conventional triaxial compression tests using five different confining pressures and found that the peak strength increased with increasing confining pressure, but the critical damage variable was almost invariant.
Journal ArticleDOI
On linear transformations of stress tensors for the description of plastic anisotropy
TL;DR: In this article, the derivation of anisotropic yield functions based on the approach of linear transformations of a stress tensor is investigated for general and plane stress states, and the number of coefficients available for the description of plastic anisotropy is discussed.
Journal ArticleDOI
Advances in anisotropy and formability
TL;DR: In this paper, a review of the experimental methods used for characterizing and modeling the anisotropic plastic behavior of metallic sheets and tubes under biaxial loading is presented together with the models and methods developed for predicting and establishing the limit strains.
References
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Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Journal ArticleDOI
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media
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A theory of the yielding and plastic flow of anisotropic metals
TL;DR: In this article, a theory is suggested which describes the yielding and plastic flow of an anisotropic metal on a macroscopic scale and associated relations are then found between the stress and strain-increment tensors.
Journal ArticleDOI
Soil mechanics and plastic analysis or limit design
D. C. Drucker,W. Prager +1 more
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