The partial selective reduced integration method and applications to shell problems
نویسندگان
چکیده
We shall briefly present here the main idea of partial selective reduced integration as developed in [1], [2]. As we shall see the idea is quite general and can be applied to a number of different situations. For the sake of simplicity, however, we shall concentrate on the particular case of Naghdi shell models. Once the idea is understood, its generalisation to other cases should be straightforward. Let us consider the general expression of the energy to be minimised in the case of Naghdi shell models in the following way
منابع مشابه
Computational technique of linear partial differential equations by reduced differential transform method
This paper presents a class of theoretical and iterative method for linear partial differential equations. An algorithm and analytical solution with a initial condition is obtained using the reduced differential transform method. In this technique, the solution is calculated in the form of a series with easily computable components. There test modeling problems from mathematical mechanic, physi...
متن کاملGlobal Optimization of Stacking Sequence in a Laminated Cylindrical Shell Using Differential Quadrature Method
Based on 3-D elasticity approach, differential quadrature method (DQM) in axial direction is adopted along with Globalized Nelder–Mead (GNM) algorithm to optimize the stacking sequence of a laminated cylindrical shell. The anisotropic cylindrical shell has finite length with simply supported boundary conditions. The elasticity approach, combining the state space method and DQM is used to obtain...
متن کاملMagneto-Electro-Thermo-Mechanical Response of a Multiferroic Doubly-Curved Nano-Shell
Free vibration of a simply-supported magneto-electro-elastic doubly-curved nano-shell is studied based on the first-order shear deformation theory in the presence of the rotary inertia effect. To model the electric and magnetic behaviors of the nano-shell, Gauss’s laws for electrostatics and magneto statics are used. By using Navier’s method, the partial differential equations of motion are red...
متن کاملNumerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials
Introduction Many problems which appear in different sciences such as physics, engineering, biology, applied mathematics and different branches can be modeled by using deterministic integral equations. Weakly singular integral equation is one of the principle type of integral equations which was introduced by Abel for the first time. These problems are often dependent on a noise source which a...
متن کاملOn Volumetric Locking of Low-order Solid and Solid-Shell Elements for Finite Elastoviscoplastic Deformations and Selective Reduced Integration
As known from nearly incompressible elasticity selective reduced integration (SRI) is a simple and effective method to overcome the volumetric locking problem in 2D and 3D solid elements. The aim of this contribution is to discuss this method for finite deformation elastoviscoplasticity, though it is well known that there are limits, which will be investigated in more detail. In this context an...
متن کامل