Physically nonlinear problems of the theory of orthotropic composite shells with a curvilinear opening

1998 ◽  
Vol 34 (9) ◽  
pp. 835-839 ◽  
Author(s):  
V. A. Maksimyuk
Keyword(s):  
Nonlinear Problems ◽  
Composite Shells ◽  
Orthotropic Composite ◽  
Curvilinear Opening

scholarly journals Axial tension of nonlinear elastic composite shells of zero Gaussian curvature with a rectangular hole

2021 ◽  
Author(s):  
Eugene Storozhuk ◽  
Volodymyr Maksimyuk ◽  
Ivan Chernyshenko ◽  
Viktoria Kornienko
Keyword(s):  
Finite Elements ◽  
Gaussian Curvature ◽  
Axial Loading ◽  
Nonlinear Problems ◽  
Rectangular Hole ◽  
Composite Shells ◽  
Vector Approximation ◽  
Tensile Forces ◽  
Zero Gaussian Curvature ◽  
Nonlinear Elastic

The formulation of physically nonlinear problems for composite shells of zero Gaussian curvature weakened by a rectangular hole under the action of axial loading is given. The initial equations are the equations of the theory of non-sloping shells, in which the Kirchhoff–Love hypotheses take place. Geometric relationships are written in vector form, and physical relationships are based on the deformation theory of plasticity for anisotropic materials. The system of resolving equations is obtained from the Lagrange variational principle. A technique has been developed for the numerical solution of two-dimensional physically nonlinear problems for orthotropic composite shells of this type, based on the use of the method of additional stresses and the method of finite elements. A variant of the finite element method is proposed, the peculiarity of which lies in the vector approximation of the sought values and the discrete execution of the geometric part of the Kirchhoff–Love hypotheses (at the nodes of finite elements). Using the developed technique, the nonlinear elastic state of an organoplastic conical shell with a rectangular hole, which at the ends is reinforced with frames and loaded with uniformly distributed tensile forces, has been investigated.

scholarly journals Analysis of Shear Flexible Layered Isotropic and Composite Shells by ‘EPSA’

2012 ◽  
Vol 19 (3) ◽  
pp. 459-475 ◽  
Author(s):  
Pawel Woelke ◽  
Ka-Kin Chan ◽  
Raymond Daddazio ◽  
Najib Abboud ◽  
George Z. Voyiadjis
Keyword(s):  
Transverse Shear ◽  
Composite Laminates ◽  
Strain Distribution ◽  
Yield Function ◽  
Shear Stresses ◽  
Normal Strain ◽  
Composite Shells ◽  
Explicit Finite Element ◽  
Orthotropic Composite ◽  
Transverse Shear Stresses

We present a simple and efficient method for the analysis of shear flexible isotropic and orthotropic composite shells. Classical thin shell constitutive equations used in the explicit finite element code EPSA to model homogenous isotropic shells using "through-the-thickness-integration" and layered orthotropic composite shells [1–3,5] are modified to account for transverse shear deformation. This effect is important in the analysis of thick plates and shells as well as composite laminates, where interlaminar effects matter. Transverse shear stresses are calculated using a linear normal strain distribution, where first the shear forces are calculated and then the stresses are calculated by means of the generalized section properties, i.e., first and second moments of area. The formulation is a generalization of the analytical method of analyzing composite beams. It is simple and computationally inexpensive, and it yields accurate results without employing higher order displacement interpolations. In the case of isotropic shells, the transverse shear stresses are distributed parabolically, based on the assumption of linear normal strain distribution through the thickness and on application of the quadratic shape function to transverse shear strains. The transverse shear stresses are included in the elastic-perfectly plastic yield function of the Huber-Mises-Hencky type.

Behavior of composite shells under transverse impact and quasi-static loading

AIAA Journal ◽  
1998 ◽  
Vol 36 ◽  
pp. 1065-1073
Author(s):  
Brian L. Wardle ◽  
Paul A. Lagace
Keyword(s):  
Static Loading ◽  
Composite Shells ◽  
Transverse Impact
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