Thermomechanical postbuckling of composite laminated plates by the spline finite strip method

Ge, Y.S.; Yuan, W.X.; Dawe, D.J.

doi:10.1016/j.compstruct.2004.12.003

Cited by 13 publications

(8 citation statements)

References 23 publications

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“…Girish and Ramachandra [27] obtained post-buckling analysis for symmetrically laminated cross-ply, quasi-isotropic, and antisymmetric angle-ply composite plates. Ge et al [28] developed thermomechanical post-buckling of composite laminated plates using the Spline finite strip method.…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical buckling of hybrid cross-ply laminated rectangular plates

Bohlooly

Mirzavand

2016

Advanced Composite Materials

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A thermomechanical buckling analysis is presented for simply supported rectangular symmetric cross-ply laminated composite plates that are integrated with surfacemounted piezoelectric actuators and are subjected to the combined action of in-plane compressive edge loads, two types of thermal loads, and constant applied actuator voltage. The formulation of equations is based on the classical laminated plate theory and the von-Karman non-linear kinematic relations. The analysis uses an exact method to obtain closed-form solutions for the buckling load. The effects of applied actuator voltage, thermal and mechanical loads, plate geometry, and lay-up configuration of the laminated plates are investigated. The novelty of the present work is to obtain closed-form solutions for electro-thermomechanical buckling of hybrid composite plates, and to cover non-uniform temperature distribution loading. The results for various states are verified with known data in the literature.

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Section: Introductionmentioning

confidence: 99%

Thermomechanical buckling of hybrid cross-ply laminated rectangular plates

Bohlooly

Mirzavand

2016

Advanced Composite Materials

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“…Since Finite Strip Method (FSM) is well suited to the accurate and efficient analysis of both single rectangular plates and complicated prismatic plate structures, the first two authors of the current paper and their co-workers have made several contributions by developing different versions of finite strip methods, namely fullenergy semi-analytical FSM [1], [2], full-energy spline FSM [1], semi-energy FSM [2] and exact FSM [3]. Ge et al investigated postbuckling behaviour of composite laminated plates with the aid of the B-spline finite strip method under the combination of temperature load and applied uniaxial mechanical stress [4]. Liew et al examined the postbuckling behavior of functionally graded material FGM rectangular plates that are integrated with surface-bonded piezoelectric actuators and are subjected to the combined action of uniform temperature change, in-plane forces, and constant applied actuator voltage [5].…”

Section: Paper 51mentioning

confidence: 99%

“…A thin isotropic square plate with the following material properties is considered [4]: Table 1: Convergence study with regard to the number of strips (Uniform Temperature Distribution)…”

Section: Thermal Postbuckling Of Isotropic Platesmentioning

confidence: 99%

“…The boundary conditions are assumed to be sliding simply supported (i.e. S3 boundary conditions in Ref[4]); in other words To satisfy the above boundary conditions, the longitudinal functions (i.e. i U , i V , i W ) in Equation (8) are selected as sine, cosine, and sine, respectively.…”

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confidence: 99%

“…longitudinal force versus variation of temperature rise Thermal postbuckling of FGPs A FG plate made from aluminium (as metal constituent) and alumina (as ceramic constituent) with dimension ratios of 1 Young's modulus, the thermal expansion coefficient, and the heat conduction coefficient of each material are given as follows: entire plate. Similar to that assumed in Ref[4], the boundary conditions on four edges are considered to be S1 fixed simply supported ( 0 u v w = = = ). For the first thermal loading, the behaviour of the above plate is investigated while the temperature uniformly increases from reference temperature (…”

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confidence: 99%

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Thermal Postbuckling Behaviour of Rectangular Functionally Graded Plates using the Finite Strip Method

Nassirnia¹

Civil-Comp Proceedings

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Description is given of semi-analytical finite strip method applied for analysing the postbuckling behaviour of functionally graded rectangular plates under thermal loadings. The material properties of these plates are assumed to vary continuously through the thickness of the plate, according to the power product form of thickness coordinate variable z. The formulations are based on the classical plate theory and the concept of the principle of the minimum potential energy. The Newton-Raphson method is used to solve the non-linear equilibrium equations. A range of applications are described and the numerical results are compared to the available results, wherever possible.

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The reformulated Koiter–Newton method for thermal–mechanical buckling and postbuckling analysis of thin‐walled structures

Liang

2022

Numerical Meth Engineering

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The reduced-order modeling method, termed as the Koiter-Newton method, is reformulated to be applicable for geometrically nonlinear thermal-mechanical analysis of thin-walled structures. The thermal load is treated as the independently unchanged load corresponding to the initial temperature field. The internal force space is expanded using the mechanical load, the thermal load, and the predefined perturbation loads. The thermal-mechanical reduced-order model is constructed using the first to fourth-order derivatives of strain energy with thermal effects in terms of the degrees of freedom (DOFs). An additional DOF related to the thermal load appears in the construction of reduced-order model based on the novel Koiter theory. The path-following scheme is proposed to make the method able to trace the entire geometrically nonlinear thermoelastic response.A much larger step size can be achieved benefiting from the favorable prediction of the reduced-order model, compared to the classical Newton-like methods. Both the temperature-independent and temperature-dependent material properties are considered. The thermal-mechanical buckling and postbuckling behaviors obtained by the proposed method are validated and discussed using various numerical examples.

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Thermomechanical postbuckling of composite laminated plates by the spline finite strip method

Cited by 13 publications

References 23 publications

Thermomechanical buckling of hybrid cross-ply laminated rectangular plates

Thermomechanical buckling of hybrid cross-ply laminated rectangular plates

Thermal Postbuckling Behaviour of Rectangular Functionally Graded Plates using the Finite Strip Method

The reformulated Koiter–Newton method for thermal–mechanical buckling and postbuckling analysis of thin‐walled structures

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