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| Author(s): |
Caio César Rocha Ramos
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Mecânica |
| Defense date: | 2019-08-16 |
| Examining board members: |
Carlos Henrique Daros;
Paulo Sollero;
Leandro Palermo Junior
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| Advisor: | Carlos Henrique Daros |
| Abstract | |
When the laminae stacking sequence is non-symmetrical with respect to the midplane of the laminated plate, the coupling of in-plane and plate bending problems unavoidably arises, increasing the complexity of the governing differential equations. Thus, the coupling effects must be taken into account in order to establish a formulation able to cover all sorts of symmetric or unsymmetric laminates. Recently, a boundary element formulation for the coupled stretching-bending analysis of thin laminated plates has been developed. The related boundary integral equations were obtained with the aid of the Betti-Rayleigh reciprocal theorem and the fundamental solutions were derived through the use of a Stroh-like complex variable formalism. Here, this formulation is extended to cover problems of assembled thin laminated plate structures by means of the subregions technique. Following this approach, each plate is considered separately and then joined together by imposing equilibrium conditions and displacement compatibility along interface edges. Furthermore, domain integrals related to distributed loads are transformed into boundary integrals using the radial integration method. Some examples are presented and obtained results are compared with analytical and numerical solutions found in the technical literature or, in the absence of these solutions, with values provided by a finite element software, certifying the validity, reliability, and accuracy of the present formulation. Finally, since the resulting boundary element code is able to simulate structures composed by laminates with arbitrary stacking sequences, some optimization problems are stated, using the safety factor associated with the Tsai-Wu failure criteria as objective function and fibers orientation angles as design variables (AU) | |
| FAPESP's process: | 17/12205-7 - Boundary Element Method applied to the coupled stretching-bending analysis of thin laminated plates |
| Grantee: | Caio César Rocha Ramos |
| Support Opportunities: | Scholarships in Brazil - Master |