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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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Failure behavior of composite laminates under four-point bending
TL;DR: In this paper, failure behavior of fiber-reinforced composites under four-point bending is investigated using the classical lamination theory (CLT) and the finite element method (FEM).
Journal ArticleDOI
Numerical simulation of fragmentation of composite material plates due to impact
TL;DR: In this paper, an original model based on the description of the progressive damage of a composite material, with particular emphasis on the strength of a lamina, both before and after failure, when its mechanical characteristics partially or totally degrade, is presented.
Journal ArticleDOI
Tensile strength of softwood in LR orthotropy plane
Jan Galicki,Michał Czech +1 more
TL;DR: In this paper, a description of pine wood failure in uniaxial stress states is presented, based on the Hankinson and Kollman's and Ashkenazi criterion.
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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