... 2011 differential equations mechanical contact pressure vessels shells (structures) stress analysis structural engineering integrated clamping multilayer pressure vessel hydrostatic test model structure parameter With the development of the industry, high pressure vessels...

... cylindrical shells circumferential strain buckling differential equations eigenvalues and eigenfunctions elastic moduli finite volume methods mechanical stability shells (structures) 08 10 2009 15 04 2010 21 07 2010 21 07 2010 2010 American Society of Mechanical...

... in terms of the radial displacement. The mathematical model is based on the idea of solving the elastoplastic autofrettage problem using the form of the elastic solution. Substituting Hooke’s equations into the equilibrium equation and using the strain-displacement relations yield a differential equation...

... “exact” solutions have been found for the governing differential equations of the employed shell theories. Shells made of isotropic materials, composites laminates, and sandwich have been analyzed. Carrera’s unified formulation has been adopted in order to implement a large variety of two-dimensional...

... comparisons are made with available results, showing the reliability and modeling capability of the numerical scheme in argument. structural engineering vibrations shells (structures) differential equations Fourier series shear deformation reliability As for many other shape kinds, spherical...

...Abı´lio M. P. De Jesus; Alfredo S. Ribeiro; Anto´nio A. Fernandes In this paper, a fatigue model formulated in the framework of the continuum damage mechanics (CDM) is presented. The model is based on an explicit definition of fatigue damage and introduces a kinematic damage differential equation...

... of coupled ordinary differential equations which are solved in terms of Taylor’s series. Results, in the form of tables and graphs, are presented for the cases of longitudinal and circumferential moments. These results would be very useful for judging the accuracy of approximate two-dimensional shell...