Abstract We present a formulation for isogeometric Kirchhoff–Love shell analysis on complex CAD models consisting of multiple trimmed patches. The method is based the penalty coupling presented in Herrema AJ, Johnson EL, Proserpio D, Wu MCH, Kiendl J, Hsu MC (Penalty non-matching patches with application to composite wind turbine blades. Computer Methods Applied Mechanics and Engineering 2019;3...

"Well-posedness and stability of a semilinear Mindlin-Timoshenko plate model" I will discuss well-posedness and long-time behavior of Mindlin-Timoshenko plate equations that describe vibrations of thin plates. This system of partial differential equations was derived by R. Mindlin in 1951 (though E. Reissner also considered an analogous model earlier in 1945). It can be regarded as a generaliza...

In this paper, we consider transverse steady oscillations of a piezoactive bimorph in the formulation plane deformation. The problem is solved within framework linear thermoelectroelasticity, while temperature separately and distribution taken into account constitutive relations electroelasticity. On basis Kirchhoff-Love type hypothesis for mechanical quantities symmetric quadratic electric pot...

For plate structures, their random parameters can be regarded as a two-dimensional field in the plane. To solve theory considering field, an efficient strategy for stochastic finite element method was adopted. Firstly, used to establish structural model, which characteristics of parameter were considered, and mathematical expression its obtained through Karhunen–Loève expansion; secondly, point...

Convergence studies for the static analysis of thin plates resting on Pasternak foundations is performed. The are discretized using two different finite elements, formulations which based Kirchhoff and Reissner-Mindlin plate theories. shear locking problem arises when full integration used in element implementation theory eliminated with selective integration. foundation accounted by adding par...

The thermal buckling response of square plates with variable angle tows under simply supported conditions is modeled numerically. path tow as a function lateral location. classical lamination theory utilizes fiber paths to calculate loads and stiffness matrices. Using Kirchhoff plate finite element theory, the global material matrix geometric are obtained. By using these matrices, eigenvalues o...

Based on Lagrange and Hermite interpolation two novel versions of weak form quadrature element are proposed for a non-classical Euler-Bernoulli beam theory. By extending these concept two new plate elements are formulated using Lagrange-Lagrange and mixed Lagrange-Hermite interpolations for a non-classical Kirchhoff plate theory. The non-classical theories are governed by sixth order partial di...

In this paper, we prove a Carleman estimate for a Kirchhoff plate equation and apply the Carleman estimate to inverse problems of determining spatially varying two Lamé coefficients and the mass density by a finite number of boundary observations. Our main results are Lipschitz stability estimates for the inverse problems under suitable conditions of initial values and boundary val-

Discontinuous Galerkin (DG) methods are studied for solving an elliptic variational inequality of 4th-order. Numerous discontinuous Galerkin schemes for the Kirchhoff plate bending problem are extended to the variational inequality. Numerical results are presented to illustrate convergence orders of the different methods.