الفهرس | Only 14 pages are availabe for public view |
Abstract The nonlinear analysis of fib er-reinforced multilayer composite structures is one of the most formidable problems in solid and structural mechanics. This problem clearly appears in the stress and deformation analysis of pneumatic tires. A typical tire construction either conventional or radial is a very complex structure. such structure exhibites both anisotropy and heterogeneity with its constituents. In addition to such complex structure, tire response exhibites geometrical and material nonlinearities. With the impossibility to analyze this complex problem analytically and the difficulties encountered with the experimental work, an accurate computational model is needed to handle such dilemma. A general and efficient computational model capable of analyzing the non- linear response of fiber-reinforced multilayer composite structures is presented, with a especial attention to the stress and deformation analysis of pneumatic tires in elasto-static contact with rigid surfaces. The geometrical nonlinearity due to large elastic deformations as well as the material nonlinearity due to stiffness- deformation dependency are accounted for. The finite element method, as an efficient numerical tool, is used to construct the discretized three-dimensional model of the problem. The proposed nonlinear three-dimensional finite element model is based on the principle of virtual work or the corresponding minimum potential energy principle, in the general framework of the theory of nonlinear elasticity. Lagrangian description is adopted to model the nonlinear behavior of the considered structure. Also, the composite material theories either in microscopic or macroscopic scale are used to model the fiber-reinforced copmposites. Further, to formulate the contact problem of the tire-roadway, the mathematical programming approach, which has been proved to be superior, is adopted to present an efficient model available for both frictionless and frictional contacts. With frictional |