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A General Theory of Strength for Anisotropic Materials
Stephen W. Tsai,Edward M. Wu +1 more
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In this article, an operationally simple strength criterion for anisotropic materials is developed from a scalar function of two strength tensors, which satisfies the invariant requirements of coordinate transforma tion, takes into account the difference in strengths due to positive and negative stresses, and can be specialized to account for different material symmetries, multi-dimensional space, and multi-axial stresses.Abstract:
An operationally simple strength criterion for anisotropic materials is developed from a scalar function of two strength tensors. Differing from existing quadratic approximations of failure surfaces, the present theory satisfies the invariant requirements of coordinate transforma tion, treats interaction terms as independent components, takes into account the difference in strengths due to positive and negative stresses, and can be specialized to account for different material symmetries, multi-dimensional space, and multi-axial stresses. The measured off-axis uniaxial and pure shear data are shown to be in good agreement with the predicted values based on the present theory.read more
Citations
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On the Off-Axis Strength Test for Anisotropic Materials1:
R. Byron Pipes,B.W. Cole +1 more
TL;DR: In this paper, the authors discussed the difficulty in the experimental determination of the strength tensor of boron-epoxy composites by off-axis tests and proposed a method to determine the tensor tensor strength.
Journal ArticleDOI
Composite laminate failure analysis using multicontinuum theory
J. Steven Mayes,Andrew C. Hansen +1 more
TL;DR: In this article, a constituent stress-based failure criterion is used to construct a nonlinear progressive failure algorithm for investigating the material failure strengths of composite laminates. But, the proposed failure analysis methodology was used to simulate the nonlinear laminate behavior and progressive damage of selected lamates under both uniaxial and biaxia load conditions up to their ultimate strength.
Journal ArticleDOI
A three‐dimensional progressive damage model for bolted joints in composite laminates subjected to tensile loading
TL;DR: In this article, a parametric analysis of the three-dimensional geometry was performed numerically using the finite element code ANSYS with special attention given to the detailed modelling of the area around the bolt in order to account for all damage modes.
Journal ArticleDOI
Studies in anisotropic plasticity with reference to the Hill criterion
René de Borst,P.H. Feenstra +1 more
TL;DR: A tangent operator that is consistent with the developed integration algorithm is formulated and its efficiency is assessed compared with the classical continuum tangent operators as discussed by the authors, and the relative accuracy of two algorithms is assessed by means of iso-error maps.
Journal ArticleDOI
A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms
TL;DR: In this article, the authors proposed a more efficient multiscale approach similar to FE2, where nonlinear material effects caused by progressive damage behavior are captured directly on the discretized material level using simple isotropic continuum damage laws.
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
The Brittle Strength of Orthotropic Materials
TL;DR: In this article, a phenomenological fracture condition for ortho tropic brittle materials is proposed, which can account for widely differing compressive and tensile strengths in ortho tropical brittle materials.
Invariant properties of composite materials.
Stephen W. Tsai,N. J. Pagano +1 more
TL;DR: The use of these invariants in materials evaluation and design optimization is discussed in this article, where simple formulas, based upon micromechanics results, are derived for the invariant in terms of constituent material properties.
Journal ArticleDOI
Strength of glass-reinforced plastics in the complex stress state
I. I. Gol'denblat,V. A. Kopnov +1 more
TL;DR: In this paper, a tensor invariant strength criterion for anisotropic materials of the glass-reinforced plastic type is proposed, which takes into account not only the different ultimate strengths in tension and compression in each direction but also the dependence of the ultimate shear strengths on the sign (direction) of the shear stresses.
Journal ArticleDOI
Classic theories of failure of anisotropic materials
TL;DR: In this paper, a modification of Marin's criterion that includes six constants, five of which are evaluated from four uniaxial loading conditions and a pure shear condition, is introduced.
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