scholarly journals ESL Based Cylindrical Shell Elements with Hierarchical Shape Functions for Laminated Composite Shells

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Jae S. Ahn ◽  
Seung H. Yang ◽  
Kwang S. Woo
Keyword(s):  
Cylindrical Shell ◽  
Three Dimensional ◽  
Single Layer ◽  
Laminated Composite ◽  
Shell Element ◽  
Composite Shells ◽  
Shell Elements ◽  
Cylindrical Coordinate ◽  
Laminated Composite Shells ◽  
Geometry Mapping

We introduce higher-order cylindrical shell element based on ESL (equivalent single-layer) theory for the analysis of laminated composite shells. The proposed elements are formulated by the dimensional reduction technique from three-dimensional solid to two-dimensional cylindrical surface with plane stress assumption. It allows the first-order shear deformation and considers anisotropic materials due to fiber orientation. The element displacement approximation is established by the integrals of Legendre polynomials with hierarchical concept to ensure theC0-continuity at the interface between adjacent elements as well asC1-continuity at the interface between adjacent layers. For geometry mapping, cylindrical coordinate is adopted to implement the exact mapping of curved shell configuration with a constant curvature with respect to any direction in the plane. The verification and characteristics of the proposed element are investigated through the analyses of three cylindrical shell problems with different shapes, loadings, and boundary conditions.

scholarly journals Robustness of Hierarchical Laminated Shell Element Based on Equivalent Single-Layer Theory

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Jae S. Ahn ◽  
Seung H. Yang ◽  
Kwang S. Woo
Keyword(s):  
Three Dimensional ◽  
Single Layer ◽  
Laminated Composite ◽  
Shell Element ◽  
Linear Mapping ◽  
Large Radius ◽  
Laminated Shell ◽  
Shell Elements ◽  
Aspect Ratios ◽  
Material Conditions

This paper deals with the hierarchical laminated shell elements with nonsensitivity to adverse conditions for linear static analysis of cylindrical problems. Displacement approximation of the elements is established by high-order shape functions using the integrals of Legendre polynomials to ensureC0continuity at the interface between adjacent elements. For exact linear mapping of cylindrical shell problems, cylindrical coordinate is adopted. To find global response of laminated composite shells, equivalent single-layer theory is also considered. Thus, the proposed elements are formulated by the dimensional reduction from three-dimensional solid to two-dimensional plane which allows the first-order shear deformation and considers anisotropy due to fiber orientation. The sensitivity tests are implemented to show robustness of the present elements with respect to severe element distortions, very high aspect ratios of elements, and very large radius-to-thickness ratios of shells. In addition, this element has investigated whether material conditions such as isotropic and orthotropic properties may affect the accuracy as the element distortion ratio is increased. The robustness of present element has been compared with that of several shell elements available in ANSYS program.

Isogeometric nonlinear shell elements for thin laminated composites based on analytical thickness integration

2016 ◽  
Vol 01 (03n04) ◽  
pp. 1640010 ◽  
Author(s):  
Farshad Roohbakhshan ◽  
Roger A. Sauer
Keyword(s):  
Composite Shell ◽  
Plate Theory ◽  
Single Layer ◽  
Laminated Composite ◽  
Material Model ◽  
Material Behavior ◽  
Large Strains ◽  
Shell Elements ◽  
Shell Models ◽  
Laminated Composite Shells

This paper presents two different formulations for the modeling of thin laminated composite shells, which do not need any numerical integration through the shell thickness. The two proposed formulations are suitable for thin rotation-free shells based on Kirchhoff–Love kinematics. The composite shell is modeled in the framework of equivalent single layer (ESL) theory and the kinematics are adopted from classical laminated plate theory. The two formulations allow for any desired nonlinear isotropic or anisotropic material model as well as arbitrary large strains and deformations. The presented shell models can be used to analyze any arrangement and material behavior of the laminate layers. The FE solution is based on isogeometric analysis (IGA). Quadratic NURBS-based elements are used to ensure the smoothness required for the analysis of thin shells. The robustness and accuracy of the formulation is demonstrated by various numerical examples.

Stress and Strain Recovery of Laminated Composite Doubly-Curved Shells and Panels Using Higher-Order Formulations

2014 ◽  
Vol 624 ◽  
pp. 205-213 ◽  
Author(s):  
Erasmo Viola ◽  
Francesco Tornabene ◽  
Nicholas Fantuzzi
Keyword(s):  
Differential Quadrature Method ◽  
Three Dimensional ◽  
Single Layer ◽  
Laminated Composite ◽  
Higher Order ◽  
Equilibrium Equations ◽  
Analysis And Design ◽  
Generalized Differential ◽  
Doubly Curved ◽  
Laminated Composite Shells

The present paper investigates the static behaviour of doubly-curved laminated composite shells and panels. A two dimensional Higher-order Equivalent Single Layer approach, based on the Carrera Unified Formulation (CUF), is proposed. The differential geometry is used for the geometric description of shells and panels. The numerical solution is calculated using the generalized differential quadrature method. The through-the-thickness strains and stresses are computed using a three dimensional stress recovery procedure based on the shell equilibrium equations. Sandwich panels are considered with soft cores. The numerical results are compared with the ones obtained with a finite element code. The proposed higher-order formulations can be used for solving elastic problems involved in the first stage of any scientific procedure of analysis and design of masonry structures.

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