Energy based collocation method to predict progressive damage behavior of imperfect composite plates under compression

Ghannadpour, S.A.M.; Shakeri, M.

doi:10.1590/1679-78254257

Cited by 9 publications

(3 citation statements)

References 40 publications

(44 reference statements)

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“…Damage progression of composite materials can be considered by using macroscopic models as well. For instance, Ghannadpour and Shakeri used the Hashin failure criteria and proposed a material degradation model to predict the failure and progressive damage behavior of composites plates containing initial geometric imperfections, when subjected to in-plane compressive loads (Ghannadpour and Shakeri 2018). A collocation method was used by the authors, where domain was discretized with Legendre-Gauss-Lobato nodes and displacement field was approximated by Legendre Basis Functions.…”

Section: Introductionmentioning

confidence: 99%

Fragmentation model for the tensile response of unidirectional composites based on the critical number of fiber breaks and the correction of the fiber-matrix interfacial strength.

Vanegas-Jaramillo

Patiño-Arcila

2019

Lat. Am. j. solids struct.

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A fragmentation model based on global load sharing (GLS) theory is developed to obtain stress-strain curves that describe the mechanical behavior of unidirectional composites. The model is named + * because it is based on the Critical Number of Breaks model (CNB) and on the correction of the fiber matrix interfacial strength, *. Model allows both obtaining the ultimate tensile strength of CFRP and GFRP composites, and correcting the vs curve to match its peak point with the predicted strength, which is more accurate than the one obtained by previous GLS-based models. Our model is used to classify the mechanical response of the material according to the energetic contributions of two phenomena up to the failure: intact fibers (IF) and fragmentation (FM). Additionally, the influence of fiber content, , on the tensile strength, , failure strain, , and total strain energy, , is analyzed by means of novel mechanical-performance maps obtained by the model. The maps show a dissimilar behavior of , and with between GFRP and CFRP composites. The low influence of on the percent energetic contributions of IF and FM zones, as well as the larger energetic contribution of the FM zone, are common conclusions that can be addressed for both kinds of composites.

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Section: Introductionmentioning

confidence: 99%

Fragmentation model for the tensile response of unidirectional composites based on the critical number of fiber breaks and the correction of the fiber-matrix interfacial strength.

Vanegas-Jaramillo

Patiño-Arcila

2019

Lat. Am. j. solids struct.

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“…The initial failure loads were calculated by means of elastic stress analyses and Hashin failure criteria were used for predicting failures with proposed material degradation models. Ghannadpour and Shakeri 20 presented energy-based collocation method to predict failure and progressive damage behavior of imperfect composite plates under compression. The onset of damage and damage evolution was predicted by Hashin's failure criteria.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear buckling analysis of damaged laminated composite plates

Onkar

2019

Journal of Composite Materials

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An updated Lagrangian-based nonlinear finite element method is developed to study the buckling behavior of damaged laminated composite plates under uniaxial compression. In this study, material imperfections are treated as existing static damage and a continuum damage mechanics-based approach is used to model such imperfections. The laminated plate is modeled as a set of elementary layers bonded together by matrix-rich elastic interface. This allows to model different modes of damage present at both elementary ply level and interply interface separately. A layerwise plate model is used to model both elementary ply and interface layers of the laminate. The effect of different forms of existing static damage on the limit point loads and the corresponding displacements of laminated plates are studied. It is observed that for the chosen modes and size of the damaged regions, the limit point load does not change much as compared to the undamaged plate. However, the deformed shapes show significant changes and some very interesting phenomena like local wrinkling behaviour of the damaged region is observed. The effect of ply orientation along with different modes of damage on the limit points and the corresponding deformed shapes of laminated plates are also discussed.

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“…Today, new computational methods are proposing to solve numerous structural problems (Ghannadpour et al, 2018; Ghannadpour and Mehrparvar, 2018; Ghannadpour and Shakeri, 2018; Mehrparvar and Ghannadpour, 2018; Ovesy et al, 2013, 2015; Ovesy and Ghannadpour, 2011). In piezo-composite plates, three-dimensional (3D) analytical solutions have been presented in pioneer literature only for simply supported edge constraint of piezoelectric laminated rectangular plates.…”

Section: Introductionmentioning

confidence: 99%

A new semi-analytical solution method for free vibration analysis of composite rectangular plates with general edge constraints coupled with single piezoelectric layer

Baghaee

Farrokhabadi

Jafari-Talookolaei

2018

Journal of Intelligent Material Systems and Structures

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In this article, a new approach is presented to study the free vibrations of rectangular composite plates coupled with single piezoelectric layer. The laminated plate with general stacking sequences is subjected to the elastic edge restraints. Based on the first-order shear deformation theory and Hamilton’s principle, the equations of the motion along with boundary conditions of the problem are deduced. To solve the problem, generalized displacements as well as general electric potentials are expanded using the Legendre polynomial series as the base functions. Then, the kinetic and potential energies of the problem are obtained. Afterwards, by means of Lagrange multipliers all the boundary conditions have been added to the energies to form the functional. This energy functional is extremised to get the natural frequencies and mode shapes of the problem through generalized eigenvalue problem. Credibility of the proposed method is verified by comparing the obtained results with those achieved by other theories and finite element method.

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Energy based collocation method to predict progressive damage behavior of imperfect composite plates under compression

Cited by 9 publications

References 40 publications

Fragmentation model for the tensile response of unidirectional composites based on the critical number of fiber breaks and the correction of the fiber-matrix interfacial strength.

Fragmentation model for the tensile response of unidirectional composites based on the critical number of fiber breaks and the correction of the fiber-matrix interfacial strength.

Nonlinear buckling analysis of damaged laminated composite plates

A new semi-analytical solution method for free vibration analysis of composite rectangular plates with general edge constraints coupled with single piezoelectric layer

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