Probabilistic failure of laminated composite plates using the stochastic finite element method

Onkar, Amit Kumar; Upadhyay, C. S.; Yadav, D.

doi:10.1016/j.compstruct.2005.06.006

Cited by 65 publications

(24 citation statements)

References 11 publications

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“…Let us consider the same shell and loading scheme as above, in the assumption that the CM is elastoplastic. The ultimate strengths for T300/5208 graphite-epoxy are given in [11]. Taking into account that the majority of composite materials have relatively small plastic areas on the corresponding stress-strain curves, for this graphite-epoxy we assume [11] the following ultimate strengths: Fig.…”

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confidence: 99%

“…The ultimate strengths for T300/5208 graphite-epoxy are given in [11]. Taking into account that the majority of composite materials have relatively small plastic areas on the corresponding stress-strain curves, for this graphite-epoxy we assume [11] the following ultimate strengths: Fig. 2), the cylinder was deformed in an elastic manner, and for σ 0 50 ≥ MPa the cylinder was deformed in an elastoplastic manner, where the strains can reach 50% and more for σ 0 400 = MPa.…”

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confidence: 99%

“…The cylinder ends and outer surface are unloaded. The material is an orthotropic T300/5208 graphite-epoxy with the following elastic characteristics [11,12]: E x = ⋅ 1 325 10 5 .…”

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A numerical study of the nonlinear dynamics of multilayer spirally orthotropic cylinders

Romashchenko

2008

Strength Mater

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Based on the Wilkins two-dimensional algorithm, a method is developed for the numerical study of the geometrically and physically nonlinear axially symmetrical dynamic stress-strain state of multilayer thick-walled cylindrical elastoplastic shells with different spiral reinforcement structures. A numerical study of the specific features in the nonlinear dynamic behavior of single-and two-layer cylinders is carried out for different reinforcement configurations and loading amplitudes.

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A numerical study of the nonlinear dynamics of multilayer spirally orthotropic cylinders

Romashchenko

2008

Strength Mater

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“…Due to the inherent variability of their micro-and meso-structural characteristics as a result of intrinsic scatter in raw material data and manufacturing processes, many composite materials exhibit considerable uncertainties in their macro-scale mechanical properties [10][11][12][13][14]. Cuong et al [15] showed that fibers friction coefficients have much effect on the ballistic performance of the interlock woven fabrics.…”

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confidence: 99%

Effect of Yarn Distortion on the Mechanical Properties of Fiber-Bar Composites Reinforced by Three-Dimensional Weaving

et al. 2015

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A meso-structure model of fiber-bar composites reinforced by three-dimensional weaving (FBCR3DW) is proposed. Optical microscopy images of the preform structure revealed that the fibers along the circumference of the yarn cross-weave were twisted randomly due to alternating yarn winding on either side of the fiber bars during the manufacturing process. Sections of the cross-woven yarn were divided into five regions based on the twist characteristics. Stochastic function theory was used to describe the twist characteristics and to calculate the compliance tensor for each twisted yarn region. The twist characteristics and compliance tensor of each region were then introduced into a finite element model to calculate the elastic properties of the twisted yarn and FBCR3DW; unidirectional tensile stress-strain curves were generated based on the Tsai-Wu failure criterion. Several FBCR3DW specimens with randomly twisted yarns inside the weave structure were used in experimental tests. Our numerical results were in good agreement with the experimental values. Yarn distortion had a significant effect on the elastic properties and axial tensile strength of the yarn; specifically, the influence of yarn distortion on the transverse elastic modulus and transverse shear modulus of FBCR3DW was severe, whereas only a slight effect occurred with regard to the other elastic Appl Compos Mater constants and unidirectional tensile properties. Thus, the proposed method provides an effective reference for modeling fiber composites with a weave structure.

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“…These authors use either Tsai-Wu or Tsai-Hill as a limit state function. MCS (monte carlo simulation) has been used by Joeng and Shenoi [16], FORM (first order reliability method) has been used by Boyer et al [17], and Perturbation technique has been used by Park et al [18], Onker et al [19] and Engelstad and Reddy [20]. MCS requires a large number of FE executions for structural analysis making it computationally expensive especially for large and complex structures with high reliability.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Failure Analysis of Composite Beams for Optimum Ply Arrangements under Ballistic Impact

Patel¹,

Ahmad²,

Mahajan³

2015

JAEST

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Abstract:The probabilistic analysis takes into consideration an effect of scatter in elastic and strength properties of composite beam, and velocity of impactor. The damage model is implemented in the FE (finite element) code by a VUMAT (user-defined subroutine). The inter ply failure is modeled using cohesive surfaces between the plies. Dynamic response is obtained using explicit time domain integration approach. SFEA (stochastic finite element analysis) is used to study the initiation of fiber failure analysis due to ballistic impact. SFEA provided the critical stress input in the limit state which is computationally solved using reliability software. The random variation in these properties is used for determining statistics of stress in the lamina. These are compared to the random strengths in the limit state function and probability failure surface is obtained by using GPRSM (Gaussian process response surface method). GPRSM is used to predict the Pf (probability of failure) for different ply lay-ups arrangement. The Pf of Chang-Chang initiation of fiber failure for simply supported composite beams with symmetric cross ply lay-ups are (88.9%, 1.47% and 58.1%) greater than the anti-symmetric cross ply, symmetric angle ply and anti-symmetric angle ply, respectively. Sensitivity analysis is also carried out for symmetric cross ply arrangements.

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Probabilistic failure of laminated composite plates using the stochastic finite element method

Cited by 65 publications

References 11 publications

A numerical study of the nonlinear dynamics of multilayer spirally orthotropic cylinders

A numerical study of the nonlinear dynamics of multilayer spirally orthotropic cylinders

Effect of Yarn Distortion on the Mechanical Properties of Fiber-Bar Composites Reinforced by Three-Dimensional Weaving

Probabilistic Failure Analysis of Composite Beams for Optimum Ply Arrangements under Ballistic Impact

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