On the stabilization of the rectangular 4-node quadrilateral element

1994 ◽  
Vol 10 (7) ◽  
pp. 555-563 ◽  
Author(s):  
U. Hueck ◽  
B. D. Reddy ◽  
P. Wriggers
Keyword(s):  
Quadrilateral Element

Four-Node Quadrilateral Element with Continuous Nodal Stress for Geometrical Nonlinear Analysis

2017 ◽  
Vol 15 (02) ◽  
pp. 1850005 ◽  
Author(s):  
Yongtao Yang ◽  
Xuhai Tang ◽  
Hong Zheng ◽  
Quansheng Liu
Keyword(s):  
Nonlinear Analysis ◽  
Meshfree Method ◽  
High Tolerance ◽  
Solid Mechanic ◽  
Quadrilateral Element ◽  
Mesh Distortion ◽  
Geometrical Nonlinear ◽  
Geometrical Nonlinear Analysis ◽  
The Individual ◽  
Better Than

In this paper, the performance of a hybrid ‘FE-Meshfree’ quadrilateral element with continuous nodal stress (Quad4-CNS) is investigated for geometrical nonlinear solid mechanic problems. By combining finite element method (FEM) and meshfree method, this Quad4-CNS synergizes the individual strengths of these two methods, which leads to higher accuracy, better convergence rate, as well as high tolerance to mesh distortion. Therefore, Quad4-CNS is attractive for geometrical nonlinear solid mechanic problems where excessive distorted meshes occur. For geometrical nonlinear analysis, numerical results show that the results of Quad4-CNS element are much better than those of four-node isoparametric quadrilateral element (Quad4), and are comparable to quadratic quadrilateral element (Quad8) and other hybrid ‘FE- Meshfree’ elements.

A Finite Element Based Method to Determine the Properties of Planar Soft Tissue

1998 ◽  
Vol 120 (2) ◽  
pp. 202-210 ◽  
Author(s):  
D. M. Flynn ◽  
G. D. Peura ◽  
P. Grigg ◽  
A. H. Hoffman
Keyword(s):  
Finite Element ◽  
Analytical Data ◽  
Rat Skin ◽  
Quadrilateral Element ◽  
Rubber Sheet ◽  
Tangent Stiffness Matrix ◽  
Nodal Displacements ◽  
Planar Membranes ◽  
Orthotropic Behavior ◽  
Incremental Loading

A finite element based method to determine the incremental elastic material properties of planar membranes was developed and evaluated. The method is applicable to tissues that exhibit inhomogeneity, geometric and material nonlinearity, and anisotropy. Markers are placed on the tissue to form a four-node quadrilateral element. The specimen is loaded to an initial reference state, then three incremental loading sets are applied and the nodal displacements recorded. One of these loadings must include shear. These data are used to solve an over-determined system of equations for the tangent stiffness matrix. The method was first verified using analytical data. Next, data obtained from a latex rubber sheet were used to evaluate experimental procedures. Finally, experiments conducted on preconditioned rat skin revealed non-linear orthotropic behavior. The vector norm comparing the applied and calculated nodal force vectors was used to evaluate the accuracy of the solutions.

Stability Analysis of Shear Deformable Trapezoidal Composite Plates

2019 ◽  
Vol 19 (08) ◽  
pp. 1971004 ◽  
Author(s):  
Amit Kumar ◽  
M. K. Singha ◽  
Vikrant Tiwari
Keyword(s):  
Numerical Technique ◽  
Composite Plates ◽  
Numerical Results ◽  
Shear Stresses ◽  
Quadrilateral Element ◽  
Buckling Resistance ◽  
Edge Based ◽  
The Stability ◽  
Shear Deformable ◽  
Transverse Shear Strains

The stability characteristics of shear deformable trapezoidal composite plates are studied here. Thestrain smoothing technique is employed to approximate the membrane strains and curvatures of the edge-based smoothing cells. The transverse shear strains within the Reissner–Mindlin quadrilateral element are obtained using the edge-consistent interpolation approach. At the beginning, the performance of the present numerical technique is examined for the buckling analysis of trapezoidal panels under in-plane compressive or shear stresses. Thereafter, new results on the buckling and postbuckling behaviors of trapezoidal composite plates are presented, for which comparable numerical results are rare in the literature. Representative numerical results are presented to highlight the interaction between the higher pre-buckling stresses and increased stiffness near the shorter edge with fiber orientation and loading direction on the buckling resistance of trapezoidal panels.

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