A new approach to reduce membrane and transverse shear locking for one-point quadrature shell elements: linear formulation

2006 ◽  
Vol 66 (2) ◽  
pp. 214-249 ◽  
Author(s):  
Rui P. R. Cardoso ◽  
Jeong Whan Yoon ◽  
Robertt A. Fontes Valente
Keyword(s):  
Transverse Shear ◽  
Linear Formulation ◽  
Shear Locking ◽  
New Approach ◽  
Shell Elements ◽  
Transverse Shear Locking

A Parametric Study for Four Node Bilinear EAS Shell Elements

2010 ◽  
Vol 26 (4) ◽  
pp. 431-438
Author(s):  
Cengiz Polat
Keyword(s):  
Variational Principle ◽  
Transverse Shear ◽  
Strain Field ◽  
Shell Element ◽  
Shell Structures ◽  
Shear Locking ◽  
Shell Elements ◽  
Assumed Strain ◽  
Dependent Strain ◽  
Transverse Shear Locking

ABSTRACTA locking free formulation of 4-node bilinear shell element and its application to shell structures is demonstrated. The Enhanced Assumed Strain (EAS) method based on three-field variational principle of Hu-Washizu is used in the formulation. Transverse shear locking and membrane locking are circumvented by means of enhancing the displacement-dependent strain field with extra assumed strain field. Several benchmark shell problems are analyzed.

scholarly journals A Family of C0 Quadrilateral Plate Elements Based on the Refined Zigzag Theory for the Analysis of Thin and Thick Laminated Composite and Sandwich Plates

2019 ◽  
Vol 3 (4) ◽  
pp. 100 ◽  
Author(s):  
Di Sciuva ◽  
Sorrenti
Keyword(s):  
Transverse Shear ◽  
Laminated Composite ◽  
Thin Plates ◽  
Sandwich Plates ◽  
Shear Locking ◽  
Reduced Integration ◽  
Quadrilateral Plate ◽  
Plate Elements ◽  
Transverse Shear Locking ◽  
Zigzag Theory

The present work focuses on the formulation and numerical assessment of a family of C0 quadrilateral plate elements based on the refined zigzag theory (RZT). Specifically, four quadrilateral plate elements are developed and numerically tested: The classical bi-linear 4-node element (RZT4), the serendipity 8-node element (RZT8), the virgin 8-node element (RZT8v), and the 4-node anisoparametric constrained element (RZT4c). To assess the relative merits and drawbacks, numerical tests on bending (maximum deflection and stresses) and free vibration analysis of laminated composite and sandwich plates under different boundary conditions and transverse load distributions are performed. Convergences studies with regular and distorted meshes, transverse shear-locking effect for thin and very thin plates are carried out. It is concluded that the bi-linear 4-node element (RZT4) has performances comparable to the other elements in the range of thin plates when reduced integration is adopted but presents extra zero strain energy modes. The serendipity 8-node element (RZT8), the virgin 8-node element (RZT8v), and the 4-node anisoparametric constrained element (RZT4c) show remarkable performance and predictive capabilities for various problems, and transverse shear-locking is greatly relieved, at least for aspect ratio equal to 5 × 102, without using any reduced integration scheme. Moreover, RZT4c has well-conditioned element stiffness matrix, contrary to RZT4 using reduced integration strategy, and has the same computational cost of the RZT4 element.

Thick Shell Elements with Optimal Transverse Shear Interpolation

1986 ◽  
pp. 171-177
Author(s):  
Motoharu Tateishi ◽  
Joop C. Nagtegaal ◽  
S. Nakazawa
Keyword(s):  
Transverse Shear ◽  
Thick Shell ◽  
Shell Elements

Locking Behavior of Isoparametric Curved Beam Finite Elements

1995 ◽  
Vol 48 (11S) ◽  
pp. S25-S29 ◽  
Author(s):  
Miguel Luiz Bucalem ◽  
Klaus-Ju¨rgen Bathe
Keyword(s):  
Shell Element ◽  
Beam Element ◽  
Curved Beam ◽  
Shear Locking ◽  
Shell Elements ◽  
One Dimensional ◽  
Curved Beam Element ◽  
The One ◽  
Insight Into ◽  
The Continuum

We present a study of the membrane and shear locking behavior in an isoparametric curved beam element. The objective is to gain insight into the locking phenomenon, specially membrane locking, of continuum based degenerated shell elements. This is possible since the isobeam element is the one-dimensional analogue of the continuum based shell element. In this context, reduced integration and mixed interpolation schemes are briefly examined. Such a study can be a valuable aid when developing new shell elements.

A Curved C0 Shell Element Based on Assumed Natural-Coordinate Strains

1986 ◽  
Vol 53 (2) ◽  
pp. 278-290 ◽  
Author(s):  
K. C. Park ◽  
G. M. Stanley
Keyword(s):  
Shell Element ◽  
Benchmark Problems ◽  
Integration Rule ◽  
Shell Elements ◽  
Curvature Effects ◽  
Point Integration ◽  
Membrane Bending ◽  
Transverse Shear Locking ◽  
Natural Coordinate ◽  
Membrane Strain

A curved C0 shell element is presented, which corrects several deficiencies in existing quadratic shell elements. The improvements realized in the present element include rank sufficiency without transverse shear locking, consistent membrane strain interpolation that admits inextensional bending without reduced integration, and adequate representation of curvature effects to capture the important membrane-bending coupling. The element can be constructed either by a nine-point integration rule or by a four-point integration rule with the proper rank compensating terms. Numerical experiments with the present element on several benchmark problems indicate that the element yields accurate and reliable solutions without any ostensible deficiency. The element is recommended for production analysis of shell structures.

scholarly journals Soft Missile Impact on Shear Reinforced Concrete Wall

2010 ◽  
Vol 5 (4) ◽  
pp. 426-436 ◽  
Author(s):  
Arja Saarenheimo ◽  
◽  
Kim Calonius ◽  
Markku Tuomala ◽  
Ilkka Hakola ◽  
...  
Keyword(s):  
Reinforced Concrete ◽  
Transverse Shear ◽  
Shear Failure ◽  
Three Dimensional ◽  
Concrete Wall ◽  
Concrete Walls ◽  
Shell Elements ◽  
Bending Mode ◽  
Reinforced Concrete Wall ◽  
Wall Deformation

In developing numerical approaches for predicting the response of reinforced concrete structures impacted on by deformable projectiles, we predict structural behavior collapse and damage using simple analysis and extensive nonlinear finite element (FE)models. To verify their accuracy, we compared numerical results to experimental data and observations on impact-loaded concrete walls with bending and transverse shear reinforcement. Different models prove adequate for different cases and are sensitive to different variables, making it important to rely on more than a single model alone. For wall deformation in bending mode, deflection is predicted reasonably well by simple four-node shell elements. Where punching dominates, transverse shear behavior must be considered. Formation of a shear failure cone is modeled using three-dimensional solid elements.

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