In this work,a new class of finite elements for the analysis of composite and sandwich shells embedding piezoelectric skins and patches is proposed.The main idea of models coupling is developed by presenting the conce...In this work,a new class of finite elements for the analysis of composite and sandwich shells embedding piezoelectric skins and patches is proposed.The main idea of models coupling is developed by presenting the concept of nodal dependent kinematics where the same finite element can present at each node a different approximation of the main unknowns by setting a nodewise through-the-thickness approximation base.In a global/local approach scenario,the computational costs can be reduced drastically by assuming refined theories only in those zones/nodes of the structural domain where the resulting strain and stress states,and their electro-mechanical coupling present a complex distribution.Several numerical investigations are carried out to validate the accuracy and efficiency of the present shell element.An accurate representation of mechanical stresses and electric displacements in localized zones is possible with reduction of the computational costs if an accurate distribution of the higherorder kinematic capabilities is performed.On the contrary,the accuracy of the solution in terms of mechanical displacements and electric potential values depends on the global approximation over the whole structure.The efficacy of the present node-dependent variable kinematic models,thus,depends on the characteristics of the problem under consideration as well as on the required analysis type.展开更多
基金This work was supported by the Russian Science Foundation[15-19-30002]。
文摘In this work,a new class of finite elements for the analysis of composite and sandwich shells embedding piezoelectric skins and patches is proposed.The main idea of models coupling is developed by presenting the concept of nodal dependent kinematics where the same finite element can present at each node a different approximation of the main unknowns by setting a nodewise through-the-thickness approximation base.In a global/local approach scenario,the computational costs can be reduced drastically by assuming refined theories only in those zones/nodes of the structural domain where the resulting strain and stress states,and their electro-mechanical coupling present a complex distribution.Several numerical investigations are carried out to validate the accuracy and efficiency of the present shell element.An accurate representation of mechanical stresses and electric displacements in localized zones is possible with reduction of the computational costs if an accurate distribution of the higherorder kinematic capabilities is performed.On the contrary,the accuracy of the solution in terms of mechanical displacements and electric potential values depends on the global approximation over the whole structure.The efficacy of the present node-dependent variable kinematic models,thus,depends on the characteristics of the problem under consideration as well as on the required analysis type.
