On thermo-mechanical nonlinear behaviour of shallow shells
| Autor: | Asif Usmani, P. Khazaeinejad |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Materials science
Applied Mathematics Mechanical Engineering Nuclear Theory Shell (structure) 02 engineering and technology Mechanics Translation (geometry) Curvature 01 natural sciences 010101 applied mathematics Nonlinear system Transverse plane Temperature gradient Geometrically nonlinearanalysis Laterally restrained boundary condition 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials Thermal Physics::Atomic and Molecular Clusters Shallow shells Thermo-mechanical loading Boundary value problem 0101 mathematics |
| Zdroj: | International Journal of Non-Linear Mechanics. 82:114-123 |
| ISSN: | 0020-7462 |
| DOI: | 10.1016/j.ijnonlinmec.2016.03.006 |
| Popis: | The structural performance of thin shells is largely dictated by their curvature and the degree of lateral restraint at the shell edges. The present study is an attempt to theoretically investigate the influence of such factors on nonlinear thermo-mechanical response of shallow shells with single and double curvatures. For the mechanical loading, a transverse load is assumed and for the thermal loading, a through-depth thermal gradient is applied on the shallow shell. Two types of boundary conditions are considered for the shallow shell, both of which constrain transverse deflections of the shell but allow rotations parallel to the shell boundaries to be free. One of the boundary conditions permits lateral translation (laterally unrestrained) and the other one does not (laterally restrained). The fundamental nonlinear equations of shallow shells are derived based on the quasi-static conditions. The validity and reliability of the proposed approach is assessed by calculating several numerical examples for shallow shells under various mechanical and thermal loads. It is found that the proposed formulation, in particular, can adequately capture the nonlinear behaviour of laterally restrained shallow shells. |
| Databáze: | OpenAIRE |
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