Application of progressive fracture analysis for predicting failure envelopes and stress–strain behaviors of composite laminates: a comparison with experimental results

Gotsis, Pascal K.; Chamis, Christos C.; Minnetyan, Levon

doi:10.1016/s0266-3538(02)00095-7

Cited by 32 publications

(24 citation statements)

References 5 publications

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“…6,7,8. It can be seen that a structure will collapse when the plastic sliding mass comes into being.…”

Section: Stability Of Pavements Under Uniform Pressure -A Plane Straimentioning

confidence: 99%

Limit analysis of 2-D and 3-D structures based on an ellipsoid yield criterion

2006

Acta Geotech.

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In this paper, a nonlinear numerical technique is developed to calculate the limit load and failure mode of structures obeying an ellipsoid yield criterion by means of the kinematic limit theorem, nonlinear programming theory and displacementbased finite element method. Using an associated flow rule, a general yield criterion expressed by an ellipsoid equation can be directly introduced into the kinematic theorem of limit analysis. The yield surface is not linearized and instead a nonlinear purely kinematic formulation is obtained. The nonlinear formulation has a smaller number of constraints and requires less computational effort than a linear formulation. By applying the finite element method, the kinematic limit analysis with an ellipsoid yield criterion is formulated as a nonlinear mathematical programming problem subject to only a small number of equality constraints. The objective function corresponds to the dissipation power which is to be minimized and an upper bound to the plastic limit load of a structure can then be calculated by solving the minimum optimization problem. An effective, direct iterative algorithm has been developed to solve the resulting nonlinear programming formulation. The calculation is based purely on kinematically admissible velocities. The stress field does not need to be calculated and the failure mode of structures can be obtained. The proposed method can be used to calculate the bearing capacity of clay soils in a direct way. Some examples are given to illustrate the validity and effectiveness of the proposed method.

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“…6,7,8. It can be seen that a structure will collapse when the plastic sliding mass comes into being.…”

Section: Stability Of Pavements Under Uniform Pressure -A Plane Straimentioning

confidence: 99%

Limit analysis of 2-D and 3-D structures based on an ellipsoid yield criterion

2006

Acta Geotech.

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“…The progressive failure behavior of composite structures having notches has been studied extensively by many researchers in the literature (Santiuste et al 2010;Kuo-Shih and Tsai 1998;Tan and Nuismer 1989;Camanho and Matthews 1999;Turon et al 2005;Tserpes et al 2001;Gotsis et al 2002;Spottswood and Palazzotto 2001;Chang and Chang 1987;Tan 1991;Ozden and Engblom 1987;Goyal et al 2004;Ambur et al 2004;Pineda et al 2009;McCarthy et al 2005;Zahari and El-Zafrany 2009;Ganesan and Zhang 2004). The stress distribution in the composite laminate was computed with the help of classical laminated plate theory (Chang and Chang 1987), higher order plate theories (Ozden and Engblom 1987;Goyal et al 2004;Ambur et al 2004;McCarthy et al 2005;Zahari and El-Zafrany 2009), or finite element method (Chang and Chang 1987;Tan 1991;Ozden and Engblom 1987;Goyal et al 2004;Ambur et al 2004;McCarthy et al 2005).…”

Section: Introductionmentioning

confidence: 99%

“…The stress distribution in the composite laminate was computed with the help of classical laminated plate theory (Chang and Chang 1987), higher order plate theories (Ozden and Engblom 1987;Goyal et al 2004;Ambur et al 2004;McCarthy et al 2005;Zahari and El-Zafrany 2009), or finite element method (Chang and Chang 1987;Tan 1991;Ozden and Engblom 1987;Goyal et al 2004;Ambur et al 2004;McCarthy et al 2005). Various types of loading conditions were considered including uniaxial in-plane loading (KuoShih and Tsai 1998;Tan and Nuismer 1989;Tserpes et al 2001;Gotsis et al 2002;Chang and Chang 1987;Tan 1991;Ozden and Engblom 1987;Ambur et al 2004;Ganesan and Zhang 2004), biaxial loading (Kuo-Shih and Tsai 1998; Gotsis et al 2002), in-plane shear (Tan and Nuismer 1989;Ganesan and Zhang 2004), three point bending (Santiuste et al 2010) and four-point bending (Ozden and Engblom 1987). In progressive failure models, loads are gradually increased and whenever failure is detected at a particular region by the failure criterion, the material properties in that region are degraded depending on the mode of failure, fiber breakage, matrix cracking, fiber-matrix shearing etc.…”

Section: Introductionmentioning

confidence: 99%

Optimization of progressive failure behavior of notched composite plates

Akbulut

2016

Struct Multidisc Optim

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In this study, the structural optimization of notched composite laminates under in plane shear and normal tension loads were carried out. The objective function of the optimization problem was selected to be the maximum stiffness and the minimum strain respectively along with the orientation angles as the optimization variables. In order to determine the ultimate failure load, a previously developed progressive failure approach was adopted. Although numerous studies exist in the literature on this subject, within the scope of the present study, correlations with the experimental results were examined qualitatively by comparing predicted and experimentally determined damage states. Prior to obtaining the optimized results, a further investigation into the response of the structure under pure shear was studied by a parametric approach. A zeroth order optimization tool known as Nelder&Mead was utilized to obtain the optimized configurations. It was shown that the developed optimization scheme is suitable for an exact determination of maximum stiffness and the minimum strain for the given materials and geometry. The results were presented for various load configurations

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“…A few of the more recent efforts are described in Refs. [7][8][9][10][11]. These and other progressive failure algorithms are usually based on the homogenized (composite) stress/strain fields [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

“…[7][8][9][10][11]. These and other progressive failure algorithms are usually based on the homogenized (composite) stress/strain fields [7][8][9][10]. While a single continuum approach benefits from simplicity, homogenization masks potentially large internal stresses that are generated between the constituents within the lamina itself.…”

Section: Introductionmentioning

confidence: 99%