On the Applicability of New Symplectic Approach for Exact Bending Solutions of Moderately Thick Rectangular Plate

The exact bending solutions of moderately thick rectangular plates with two opposite sides simply supported are derived based on the symplectic geometry method. The basic equations for the plates are transferred into Hamilton canonical equations. Then the whole state variables are separated. According to the method of eigenfunction expansion in the symplectic geometry, the exact bending solutions of the plates are obtained. Since only the basic elasticity equations of the plates are used and there is no need to select the deformation functions arbitrarily, the approach utilized is completely reasonable.

CHARACTERIZING THE TIME DEPENDENCE OF FILLED EPDM

The mechanical properties of a carbon black filled rubber are investigated. The main focus lays on the theoretical modeling of the basic elasticity and the viscoelastic behavior. Therefore, uniaxial tension tests at different feedrates are performed. The occurring Mullins effect can be neglected due to adequate pretreatment of the specimens. Healing effects are also verified and investigated in the examined material. The constitutive model for the basic elasticity is based on the Yeoh model, while the theory of finite viscoelasticity with an intermediate configuration is used to describe the rate dependent behavior. The healing effects are constituted with large relaxation times and not with an additional structural parameter. As the material has a strong nonlinear behavior with respect to the deformation rate, nonlinearity in the relaxation time with respect to this behavior is introduced. The material parameters of the model are estimated using a stochastic identification algorithm.