scholarly journals Heat conduction and Thermal Stress Analysis of laminated composites by a variable kinematic MITC9 shell element

2015 ◽  
Vol 2 (1) ◽  
Author(s):  
M. Cinefra ◽  
S. Valvano ◽  
E. Carrera
Keyword(s):  
Heat Conduction ◽  
Thermal Stress ◽  
Stress Analysis ◽  
Composite Structures ◽  
Single Layer ◽  
Shell Element ◽  
Virtual Displacement ◽  
Thermal Stress Analysis ◽  
Shell Finite Element ◽  
Benchmark Solutions

AbstractThe present paper considers the linear static thermal stress analysis of composite structures by means of a shell finite element with variable through-thethickness kinematic. The temperature profile along the thickness direction is calculated by solving the Fourier heat conduction equation. The refined models considered are both Equivalent Single Layer (ESL) and Layer Wise (LW) and are grouped in the Unified Formulation by Carrera (CUF). These permit the distribution of displacements, stresses along the thickness of the multilayered shell to be accurately described. The shell element has nine nodes, and the Mixed Interpolation of Tensorial Components (MITC) method is used to contrast the membrane and shear locking phenomenon. The governing equations are derived from the Principle of Virtual Displacement (PVD). Cross-ply plate, cylindrical and spherical shells with simply-supported edges and subjected to bi-sinusoidal thermal load are analyzed.Various thickness ratios and curvature ratios are considered. The results, obtained with different theories contained in the CUF, are compared with both the elasticity solutions given in the literature and the analytical solutions obtained using the CUF and the Navier’s method. Finally, plates and shells with different lamination and boundary conditions are analyzed using high-order theories in order to provide FEM benchmark solutions.

Shell Finite Elements for the Analysis of Multifield Problems in Multilayered Composite Structures

2016 ◽  
Vol 828 ◽  
pp. 215-236 ◽  
Author(s):  
Maria Cinefra ◽  
Erasmo Carrera
Keyword(s):  
Finite Element ◽  
Composite Structures ◽  
Single Layer ◽  
Shell Element ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Multilayered Plates ◽  
Plates And Shells ◽  
Elasticity Solutions ◽  
Shell Finite Element

This paper deals with the analysis of layered structures under thermal and electro-mechanical loads. Constitutive equations for multifield are considered and the Principle of Virtual Displacements (PVD) is employed to derive the governing equations. The MITC9 shell finite element based on the Carrera's Unified Formulation (CUF) has been applied for the analysis. The models grouped in the CUF have variable through-the-thickness kinematic and they provide an accurate distribution of displacements and stresses along the thickness of the laminate. The shell element has nine nodes and the Mixed Interpolation of Tensorial Components (MITC) method is used to contrast the membrane and shear locking phenomenon. The finite element analysis of multilayered plates and shells has been addressed. Variable kinematics, as well as layer-wise and equivalent single layer descriptions, have been considered for the presented FEs, according to CUF. A few problems are analyzed to show the effectiveness of the proposed approach. Various laminations, thickness ratios and curvature ratios are considered. The results, obtained with different theories contained in the CUF, are compared with both the elasticity solutions given in literature and the analytical solutions obtained using the CUF and the Navier's method.

Geometric Non Linear Analysis of Composite Shells Under Thermomechanical Load

2004 ◽  
Author(s):  
B. Sutharson ◽  
A. Elaya Perumal ◽  
R. Kari Thangarathanam
Keyword(s):  
Thermal Stress ◽  
Boundary Conditions ◽  
Stress Analysis ◽  
Shell Element ◽  
Linear Analysis ◽  
Composite Shells ◽  
Thermal Stress Analysis ◽  
Aspect Ratios ◽  
Linear Buckling ◽  
Non Linear

Geometric nonlinear analysis of composite shells under thermomechanical load is reported here. From the literature, it may be seen that the thermal stress analysis of structural elements has continued to remain a research topic for a couple of decades. No one computationally verified the geometric non-linear buckling of composite shells under thermomechanical load using semiloof element. In this work, linear buckling analysis of Kari Thangaratnam (2) is extended to geometric non-linear analysis of composite shells under thermomechanical load. A general shell element called the semiloof shell element has been extended to thermal stress analysis of laminated shells. The formulation is based on nonlinear theory and the finite element method using semiloof element. The validation checks on the program are carried out using results on homogeneous isotropic shells available in the literature. The parameters considered in analysis are (1) number of layers in the laminate, (2) Lay-up sequence (symmetry, antisymmetry, cross-ply etc.), (3) Fibre orientation angle, (4) Different aspect ratios, (5) Orthotrophy ratio, (6) Boundary conditions (simply supported, clamped and combination of boundary conditions).

Thermal stress analysis and homogenization for catalytic combustor monoliths

1999 ◽  
Vol 10 (2) ◽  
pp. 185-220 ◽  
Author(s):  
S. T. KOLACZKOWSKI ◽  
P. LIN ◽  
A. B. MOVCHAN ◽  
S. K. SERKOV ◽  
A. SPENCE
Keyword(s):  
Thermal Stress ◽  
Stress Analysis ◽  
Composite Structures ◽  
Elastic Moduli ◽  
Periodic Structures ◽  
Three Dimensional ◽  
Thermal Stress Analysis ◽  
Asymptotic Formulae ◽  
Catalytic Combustor ◽  
Rigorous Mathematical Model

We present a simple and rigorous mathematical model and efficient numerical algorithm for the three-dimensional thermal stress analysis of composite structures used in high-temperature catalytic combustors. Numerical experiments are carried out for three types of cell geometries. A homogenization algorithm is implemented, and asymptotic formulae are derived for the effective elastic moduli of the periodic structures.

Geometric Non Linear Analysis of Composite Shells Under Thermomechanical Loading

2005 ◽  
Author(s):  
B. Sutharson ◽  
R. Sarala ◽  
R. Kari Thangarathanam
Keyword(s):  
Thermal Stress ◽  
Boundary Conditions ◽  
Stress Analysis ◽  
Shell Element ◽  
Linear Analysis ◽  
Thermomechanical Loading ◽  
Composite Shells ◽  
Thermal Stress Analysis ◽  
Linear Buckling ◽  
Non Linear

A Geometric non-linear analysis of composite shells under thermomechanical loading has been discussed here. From the literature, it may be seen that the thermal stress analysis of structural elements has continued to remain a research topic for a couple of decades. No one computationally verified the geometric non-linear buckling of composite shells under thermomechanical loading using semiloof element. In this work, linear buckling analysis of Kari Thangaratnam (2) is extended to geometric non-linear analysis of composite shells under thermomechanical loading. A general shell element called the semiloof shell element has been extended to thermal stress analysis of laminated shells. The formulation is based on nonlinear theory and the finite element method using semiloof element. The validation checks on the program are carried out using results on homogeneous isotropic shells available in the literature. The parameters considered in analysis are (1) number of layers in the laminate, (2) Lay-up sequence (symmetry, antisymmetry, cross-ply etc.), (3) Fibre orientation angle, (4) Different aspect ratios, (5) Orthotrophy ratio, (6) Boundary conditions (simply supported, clamped and combination of boundary conditions).

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