Sur la convergence des méthodes d'éléments finis nonconformes pour des problèmes linéaires de coques minces.
Symmetry in rearrangement optimization problems.
The fundamental solution for a consistent complex model of the shallow shell equations.
The large deformation of nonlinearly elastic shells in axisymmetric flows
The nonlinear membrane model : a Young measure and varifold formulation
We establish two new formulations of the membrane problem by working in the space of -Young measures and -varifolds. The energy functional related to these formulations is obtained as a limit of the formulation of the behavior of a thin layer for a suitable variational convergence associated with the narrow convergence of Young measures and with some weak convergence of varifolds. The interest of the first formulation is to encode the oscillation informations on the gradients minimizing sequences...
The nonlinear membrane model: a Young measure and varifold formulation
We establish two new formulations of the membrane problem by working in the space of -Young measures and -varifolds. The energy functional related to these formulations is obtained as a limit of the 3d formulation of the behavior of a thin layer for a suitable variational convergence associated with the narrow convergence of Young measures and with some weak convergence of varifolds. The interest of the first formulation is to encode the oscillation informations on the gradients minimizing...
The problem of membrane locking in finite element analysis of cylindrical shells.
Théorème d'existence et d'unicité pour un problème de coque élastique dans le cas d'un modèle linéaire de P. M. Naghdi
Uniqueness of critical points for semi-linear Dirichlet problems in convex domains.
Weak uniqueness and partial regularity for the composite membrane problem
We study the composite membrane problem in all dimensions. We prove that the minimizing solutions exhibit a weak uniqueness property which under certain conditions can be turned into a full uniqueness result. Next we study the partial regularity of the solutions to the Euler–Lagrange equation associated to the composite problem and also the regularity of the free boundary for solutions to the Euler–Lagrange equations.
Асимптотика решения задачи Дирихле для системы теории упругости во внешности тела вращения
Исследование разрешимости задачи о сильном изгибе цилиндрической оболочки
Исследование сходимости интерационного процесса для решения одной стационарной задачи теории мягких оболочек
Конечномерность аттрактора в некоторых задачах нелинейной теории оболочек
Контрпример к гипотезе В.И.Арнольда о собственных колебаниях мембраны
Метод прямой линеаризации геометрически нелинейных задач теории оболочек
Нестационарные совместные колебания вязкоупругой пологой сферической оболочки и вязкоупругой среды
О бесконечно малой деформации термоупругой мембраны
О разрешимости задачи о геометрически-нелинейном изгибе незамкнутой сферической оболочки
О существовании решений в квазистатической задаче упругопластического деформирования оболочек.