Abstract:The paper is concerned with failure by plastic flow of the matrix of a fiber-reinforced composite sheet. For unidirectional reinforcement, a completely general state of plane stress in the median plane of the sheet is discussed, but for a two-ply laminate with an arbitrary angle between the two systems of reinforcing fibers only simple tension in any direction to the fibers is investigated.
“…where a and i are the stresses, c and y are the strains, X, Y and S are the longitudinal, transverse and shear strengths, prime (') denotes compressive strength, subscripts 1 and 2 denote longitudinal and transverse directions and U is the ultimate strength or strain. Stowell and Liu (1961), Kelly and Davies (1965), and Prager (1969) suggested additional variations of the maximum stress criterion.…”
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.
“…where a and i are the stresses, c and y are the strains, X, Y and S are the longitudinal, transverse and shear strengths, prime (') denotes compressive strength, subscripts 1 and 2 denote longitudinal and transverse directions and U is the ultimate strength or strain. Stowell and Liu (1961), Kelly and Davies (1965), and Prager (1969) suggested additional variations of the maximum stress criterion.…”
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.
“…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].…”
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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