A finite element prediction of first ply failure and delamination in composite conoidal shells using geometric nonlinear

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Sådhanå (2020)45:218 https://doi.org/10.1007/s12046-020-01457-4

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A finite element prediction of first ply failure and delamination in composite conoidal shells using geometric nonlinearity KAUSTAV BAKSHI1,*

and DIPANKAR CHAKRAVORTY2

1

Discipline of Civil Engineering, Indian Institute of Technology Indore, Indore 452020, India Department of Civil Engineering, Jadavpur University, Kolkata 700032, India e-mail: [email protected]; [email protected]; [email protected]

2

MS received 15 April 2018; revised 20 March 2020; accepted 15 July 2020 Abstract. A review of the existing literature shows that there is only one research report available on failure of laminated composite conoidal shells using geometrically nonlinear strains. Thus, this paper aims for a detailed study on first ply failure and delamination predictions of laminated composite conoidal shell using von-Karman nonlinearity and first order shear deformation theory. The nonlinear equations are solved by Newton–Raphson iterative method. The failure loads of the shell are furnished for two different boundary conditions and stacking orders of cross and angle-ply laminations. The failure locations on the shell surface and failure modes/tendencies are also reported. This study finds that the SSCC boundary and 0°/90°/0° lamination should be selected by practicing engineers to achieve the maximum load carrying capacity of the conoid out of the two edge conditions considered here. Factor of safety values applicable on the failure loads are also suggested keeping due weightage to serviceability criterion. Keywords.

First ply failure; delamination; finite element formulation; conoidal shell; geometric nonlinearity.

1. Introduction The laminated composite gained popularity in fabricating civil, aerospace and marine structures due to their high stiffness/strength to weight ratios, lesser thermal expansions and resistances against weathering actions. Moreover, the flexibility to tailor the stiffness and strength properties of the laminated composites by altering their fiber orientations and lamina stacking sequences made the material a lucrative option to the practicing engineers. The civil engineering industry utilizes the advantages of laminated composites and started to use laminated shell roofs to cover large unsupported areas which are found often in shopping malls, car parking lots, auditoriums and stadiums. The laminated shells are advantageous than the conventional reinforced concrete ones due to relatively lesser mass induced forces like seismic and foundation forces. Among the available shell forms, conoid enjoys special attention among civil engineers due to its doubly curved, aesthetically appealing, rigid and easy to fabricate surface. A number of researchers worked on different aspects of

This paper is a revised and expanded version of an article presented in ‘‘First International Conference on Mechanical Engineering’’ held at ‘Jadavpur University’, Kolkata, India during Janua