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Effects of transverse
shear deformation on thermomechanical instabilities in
patched structures with edge damage
Peinan Ge and William J. Bottega |
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Vol. 8 (2013), No. 8-10, 501–523
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Abstract |
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The problem of a patched structure under uniform thermal loading is studied, where geometric nonlinearity and shear deformation are considered. The formulation is based on the calculus of variations with propagating boundaries, and yields the governing equations, boundary conditions, matching conditions and transversality condition. Closed form analytical solutions are obtained in terms of an (unknown) membrane force parameter, the angle of rotation due to bending and the transverse displacement. Results of numerical simulations based on those solutions are presented and critical phenomena of the composite structure are unveiled. Results of the current work are compared with previously published results where transverse shear deformation was neglected. It is seen that shear deformation plays an important role in certain situations. In particular, the effects of shear deformation on the phenomena of “slingshot buckling” and “buckle trapping” are demonstrated and discussed. The influence of the relative size of the detached region and of the difference between the material properties of the base plate and of the patch (in particular, shear moduli) on the thermomechanical instabilities are elucidated. |
Keywords
beam, buckle trapping, buckling, patch, patched structure,
contact zone, plate, slingshot buckling, stability,
temperature, thermal buckling, thermal load, transverse
shear deformation
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Milestones
Received: 16 July 2013
Revised: 26 September 2013
Accepted: 27 October 2013
Published: 30 December 2013
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Authors |
| Peinan Ge | |
| Department of Mechanical and
Aerospace Engineering Rutgers University 98 Brett Road Piscatway, NJ 08854-8058 United States |
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| William J. Bottega | |
| Department of Mechanical and
Aerospace Engineering Rutgers University Campus at New Brunswick, 98 Brett Road Piscataway, NJ 08854-8058 United States |
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