Linear and nonlinear flexural analysis of higher-order shear deformation laminated plates with circular delamination

Haghani, Ahmad; Mondali, M.; Faghidian, S. Ali

doi:10.1007/s00707-017-2072-4

Cited by 15 publications

(3 citation statements)

References 69 publications

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“…The homotopy analysis method is a powerful semi-analytical technique for solving nonlinear differential equations [44][45][46][47][48][49][50]. The homotopy analysis method has several advantages over many traditional analysis methods.…”

Section: Homotopy Analysis Methodsmentioning

confidence: 99%

Nonlinear vibrations of Timoshenko nanobeam using stress driven nonlocal theory

Haghani¹,

Jahangiri²,

Ghaderi³

2022

Phys. Scr.

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As properties of nonlinear systems can introduce particular responses not present in linear systems, results from linear models can be inaccurate or misleading. Therefore, studying nonlinear vibrations is of extreme importance in structural vibration analysis. Nonlinear vibrations of a Timoshenko nanobeam were analyzed for the first time using the stress driven nonlocal theory (SDM) and the strain gradient theory (SGT). Nonlinear equations of motion were solved for simply supported- simply supported, clamped-clamped and clamped- simply supported beams using the homotopy analysis method. The results indicated that as the dimensionless characteristic parameter increased, the nonlinear natural frequency increased accordingly. High agreement was observed between the results from a linear frequency of Timoshenko beam model based on the SGT and those from previous research.

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Section: Homotopy Analysis Methodsmentioning

confidence: 99%

Nonlinear vibrations of Timoshenko nanobeam using stress driven nonlocal theory

Haghani¹,

Jahangiri²,

Ghaderi³

2022

Phys. Scr.

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“…In fact, the delamination defects are prone to occur during the preparation of composite laminates due to porosity or resin debonding. [5][6][7][8][9] As a result, in order to appropriately measure the impact performance and degree of impact damage, it is required to analyze the influence of initial delamination defects on the impact damage behavior and residual strength of laminates.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation on behaviors of composite laminates with initial delamination defects under impact and compression after impact

et al. 2022

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The initial delamination defects may arise during the preparation of carbon fiber-reinforced polymer (CFRP) composite laminates, so its effects need to be considered in the evolution of mechanical properties. In this article, the behaviors of composite laminates with initial delamination defects under impact and compression after impact (CAI) are investigated by numerical method. The simulation framework composed of the micromechanics of failure (MMF) theory and the mixed mode exponential cohesive zone model (ECZM) is constructed. The numerical analysis compares the effects of the interaction between four different initial delamination defects and impact loading on impact response and CAI strength at two impact velocity levels (1.336 and 2.314 m/s). Furthermore, the failure mechanisms of laminates with initial delamination defect are disclosed under CAI loading. The findings indicate

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“…The classical linear and nonlinear plate equations are the main keys for creating various plate models, including delamination of composite plates (Vasiliev and Morozov [27], Stavroulakis and Panagiotopoulos [28], Storakers and Andersson [29], Xue et al [30], and Haghani et al [31]), contact problems (Ohtake et al [32,33], Borisovich et al [34], and Malekzadeh and Setoodeh [35], Muradova and Stavroulakis [36][37][38][39], Muradova et al [40], Fichera [41]), analysis of buckled plates (Ciarlet and Rabier [3], Caloz and Rappaz [42], Matkowsky; Putnick [43], Chien et al [44], Chien et al [45], Muradova [46][47][48], Dossou and Pierre [49]), etc.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Models with Buckling and Contact Phenomena for Elastic Plates: A Review

Muradova

Stavroulakis

2020

Mathematics

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A review of mathematical models for elastic plates with buckling and contact phenomena is provided. The state of the art in this domain is presented. Buckling effects are discussed on an example of a system of nonlinear partial differential equations, describing large deflections of the plate. Unilateral contact problems with buckling, including models for plates, resting on elastic foundations, and contact models for delaminated composite plates, are formulated. Dynamic nonlinear equations for elastic plates, which possess buckling and contact effects are also presented. Most commonly used boundary and initial conditions are set up. The advantages and disadvantages of analytical, semi-analytical, and numerical techniques for the buckling and contact problems are discussed. The corresponding references are given.

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Linear and nonlinear flexural analysis of higher-order shear deformation laminated plates with circular delamination

Cited by 15 publications

References 69 publications

Nonlinear vibrations of Timoshenko nanobeam using stress driven nonlocal theory

Nonlinear vibrations of Timoshenko nanobeam using stress driven nonlocal theory

Numerical investigation on behaviors of composite laminates with initial delamination defects under impact and compression after impact

Mathematical Models with Buckling and Contact Phenomena for Elastic Plates: A Review

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