A maximum shear stress theory of plastic failure of fiber-reinforced materials

Lance, R.H.; Robinson, D. N.

doi:10.1016/0022-5096(71)90017-2

Cited by 35 publications

(7 citation statements)

References 7 publications

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“…(1)) implicitly considers the maximum effective longitudinal and transverse shear stresses and the effective normal stress in the direction of the fibers (Robinson and Duffy, 1990;Lance and Robinson, 1971;Spencer, 1972Spencer, , 1984. Lissenden et al (2000) consider a functional form of F including the third stress invariant following Drucker (1949) form.…”

Section: Continuum Modelmentioning

confidence: 99%

Experimental investigation of initial and subsequent yield surfaces for laminated metal matrix composites

Lissenden

2010

International Journal of Plasticity

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Section: Continuum Modelmentioning

confidence: 99%

Experimental investigation of initial and subsequent yield surfaces for laminated metal matrix composites

Lissenden

2010

International Journal of Plasticity

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“…Redistribution subject to SIAM license or copyright; see http://www.siam.org/journals/ojsa.php particle reinforced composites has been studied [26,5,8,9,6,11,12,24,33,27,31,32,34,35,36,37,38,47,50,52,55,57,58,63].…”

Section: −1mentioning

confidence: 99%

Effects of the Fibers' Shape and Volume Fraction on the Strength of Ideally Plastic Fiber Reinforced Composites

Goldsztein¹

2012

SIAM J. Appl. Math.

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Abstract. We consider fiber reinforced composites where both the matrix and the fibers are ideally plastic materials. We restrict our attention to microstructures and applied stresses that lead to both microscopic and macroscopic antiplane shear deformations. We describe a bound we have recently obtained on the yield set of the composite in terms of the shape of the fibers, their volume fraction, and the yield set of the matrix. We construct examples of composites showing that our bound is essentially optimal.

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“…Hu (1985), Wasti (1970), and Lance and Robinson (1971) have proposed generalizations of Tresca's maximum shear stress criterion for anisotropic materials. Hill (1948) proposed an interactive criterion by generalizing the Von Mises Hencky maximum distortional energy theory to include anisotropy in metals such as cold rolled steel.…”

Section: Phenomenological Failure Criteriamentioning

confidence: 99%

A Review of Failure Models for Ceramic Matrix Composite Laminates Under Monotonic Loads

Tripp

Hemann

Gyekenyesi

1989

Volume 5: Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation;

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Ceramic matrix composites offer significant potential for improving the performance of turbine engines. In order to achieve their potential, however, improvements in design methodology are needed.In the past most components using structural ceramic matrix composites were designed by "trial and error" since the emphasis on feasibility demonstration minimized the development of mathematical models. To understand the key parameters controlling response and the mechanics of failure, the development of structural failure models is required.A review of short term failure models with potential for ceramic matrix composite laminates under monotonic loads is presented.Phenomenological, semiempirical, shear-lag, fracture mechanics, damage mechanics, and statistical models for the fast fracture analysis of continuous fiber unidirectional ceramic matrix composites under monotonic loads are surveyed.

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A maximum shear stress theory of plastic failure of fiber-reinforced materials

Cited by 35 publications

References 7 publications

Experimental investigation of initial and subsequent yield surfaces for laminated metal matrix composites

Experimental investigation of initial and subsequent yield surfaces for laminated metal matrix composites

Effects of the Fibers' Shape and Volume Fraction on the Strength of Ideally Plastic Fiber Reinforced Composites

A Review of Failure Models for Ceramic Matrix Composite Laminates Under Monotonic Loads

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