Shell and Membrane Theories in Mechanics and Biology (eBook)

On the theories of plates and shells at the nanoscale.- Homogenization approach in the theory of plates and shells.- Wavelet analysis of nonlinear mechanics of shells.- Solid mechanics modeling in ophthalmology.- Theory of shells and theory of curvilinear rods: A comparative analysis.- Initial-value problems in general asymptotic theory for thin walled elastic structures.- Second-order isotropic and anisotropic plate theories.- Actual problems of nanomechanics.- Analysis of free vibrations of multi-walled carbon nanotubes based on theories of orthotropic cylindrical shells and non-local elasticity.- A shell theory for CNTs of arbitrary chirality.- The application of shell model to biological membranes.- Studying free vibrations of totally reconstructed middle ear based on the plate theory and FEM simulation.- Concerning approaches to modeling and restoration of inhomogeneous initial stress fields in plates.- Some problems of equilibrium and stability of nonlinearly elastic circular membranes.- New approach for studying nonlinear dynamic response of thin plates in a viscoelastic medium.- Aspiration of a nonlinear elastic spherical membrane.- Movement modelling of soft microrobot of amoebalike type in the heterogeneous environment.- Identification of the elastic modulus of polymeric materials based on compression of thin-walled cylindrical specimens.- On gradient theories of plates and shells with applications to nanomechanics.- Nanoplate stability.- Asymptotic solutions for thin layers in articular contact.- Three-dimensional exact analysis of functionally graded and laminated piezoelectric plates.