Suitable, yet general enough, choices of functional grading along the radius and thickness axisymmetric circular plates may lead to closed-form solutions for linear elastic direct problem. The are modeled according usual Kirchhoff—Love theory, because they supposed be thin; abstract from actual values geometric material parameters, governing equations dealt with in nondimensional form. Some ins...

Abstract Dynamic problems of thin linearly elastic Kirchhoff–Love-type circular cylindrical shells having geometrical, and inertial properties densely periodically varying in circumferential direction ( uniperiodic ) are studied. In order to take into account the effect a cell size on global dynamic behaviour such length-scale ), new mathematical averaged non-asymptotic model is formulated. Thi...

Dynamic von-Kármán plate models consist of three coupled non-linear, time-dependent partial differential equations. These equations have been recently solved numerically [Kirby, R., Yosibash, Z., 2004. Solution of von-Kármán dynamic non-linear plate equations using a pseudo-spectral method. Comp. Meth. Appl. Mech. Eng. 193 (6–8) 575–599 and Yosibash, Z., Kirby, R., Gottlieb, D., 2004. Pseudo-sp...

The determination of the appropriate boundary conditions for a two-dimensional theory of elastic flat plates (and shells) consistent with the expected order of accuracy of the theory is both critical and challenging. The reciprocal theorem of elasticity will be applied in a novel way to obtain the appropriate stress boundary conditions for plate bending accurate to all order (with respect to th...

Abstract The objects of consideration are thin linearly thermoelastic Kirchhoff-Love-type circular cylindrical shells having a periodically microheterogeneous structure in circumferential and axial directions ( biperiodic ). aim this contribution is to formulate discuss two new averaged mathematical models for the analysis selected dynamic thermoelasticity problems under consideration: non-asym...

The computational modeling of thin-walled structures based on isogeometric analysis (IGA), non-uniform rational B-splines (NURBS), and Kirchhoff–Love (KL) shell formulations has attracted significant research attention in recent years. While these methods offer numerous benefits over the traditional finite element approach, including exact representation geometry, naturally satisfied high-order...