Finite-Layer Method: A Unified Approach to a Numerical Analysis of Interlaminar Stresses, Large Deflections, and Delamination Stability of Composites. Part 3. Stability

Timonin, A. M.

doi:10.1007/s11029-014-9406-2

Cited by 5 publications

(2 citation statements)

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“…Applying Equation (18) to Equation ( 17), the potential energy can be rewritten in the matrix form as: ……………………. (19) In which . (20) Therefore, the stability matrix for each layer, , is given by:…”

Section: ……………… (18)mentioning

confidence: 99%

“…Based on the Reissner's mixed variational theorem (RMVT), Wu & Li [15,16] developed unified formulations of the RMVT-based finite layer methods for the static, vibration, and stability analyses of simply supported, multilayered functionally graded elastic plates and laminated composite ones. This method is also used and developed by Timonin [17][18][19][20] to analyze the interlaminar stresses and delamination of laminated plates as well as their bending and twisting behaviors. The finite layer method may be considered as an extension of the finite element method which enables a full three-dimensional analysis.…”

Section: Introductionmentioning

confidence: 99%

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Elastic and Inelastic Buckling Analysis of Thick Isotropic and Laminated Plates Using Finite Layer Method

Azhar¹

2017

CERJ

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In this paper, the elastic and inelastic instability of isotropic and composite thick laminated plates with different end conditions are studied using the finite layer method (FLM). This method is an extension of the well-known finite element method, which efficiently transforms threedimensional problem into one-dimensional because of the trigonometric properties. By assuming appropriate interpolation for in-plane and out-of-plane displacements and using energy approach in conjunction with the assumption of deformation theory for inelastic buckling of each layer, the stiffness and geometry matrices are obtained. Afterward, these matrices are assembled and the eigen value problem is solved to obtain the elastic and inelastic critical buckling load. Numerical results are presented to demonstrate the accuracy and efficiency of the method.

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Section: ……………… (18)mentioning

confidence: 99%