Journal ArticleDOI
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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Design and Validation of Thin-Walled Composite Deployable Booms with tape-Spring Hinges
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Numerical investigation of the hybridisation mechanism in fibre reinforced hybrid composites subjected to flexural load
TL;DR: In this paper, the authors investigated the effect of hybridisation on the flexural strength of carbon/glass fibre reinforced epoxy hybrid composites with the aim of elucidating the mechanisms behind the hybrid effect.
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Longitudinal strength analysis of ship hulls of composite materials under sagging moments
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TL;DR: An approach to estimate the longitudinal strength of ship hulls in composite materials is presented in this article, which is based on a degenerated three-dimensional laminated composite shell element with updated Lagrangian formulation and first-order shear deformable kinematics.
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Strength of composite laminates under biaxial loads
TL;DR: In this article, five well known failure criteria and one simple progressive model have been used in conjunction with laminate theory, which allows for nonlinear lamina shear behaviour, to predict the initial and final failure strengths of filament wound composite tubes.
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Failure analysis of a graphite/epoxy laminate subjected to bolt-bearing loads
John H. Crews,R. V. A. Naik +1 more
TL;DR: In this paper, the failure modes associated with ultimate strength were usually different from those associated with the damage onset and after ultimate load, and also the laminate stresses near the bolt hole calculated for each test specimen configuration, and then used with a failure criterion to analyze the test data.
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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