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A priori identification of shear locking and stiffening in triangular mindlin elements
Computer Methods in Applied Mechanics and Engineering, 1985An a priori, explicit algebraic procedure for identifying shear locking and excessive solution stiffening in thin shear-deformable plates is explored. Only element-level solutions of element Kirchhoff modes are required to establish the nodal degree-of-freedom constraints.
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A new volumetric and shear locking‐free 3D enhanced strain element
Engineering Computations, 2003This paper focuses on the development of a new class of eight‐node solid finite elements, suitable for the treatment of volumetric and transverse shear locking problems. Doing so, the proposed elements can be used efficiently for 3D and thin shell applications.
Alves de Sousa, R. J. +3 more
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On the theory of a Cosserat point and shear locking in thin beams
Communications in Numerical Methods in Engineering, 2001AbstractIt is well known that with the assumption of constant strain elements, the Galerkin approach yields a numerical solution of the equilibrium equations of a beam with shear deformation which exhibits the unphysical feature of shear locking. Here, it is shown that the numerical solution that is based on the theory of a Cosserat point converges to ...
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On locking-free shear deformable beam finite elements
Computer Methods in Applied Mechanics and Engineering, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stress projection for membrane and shear locking in shell finite elements
Computer Methods in Applied Mechanics and Engineering, 1985Since the discovery that reduced integration could lead to more accurate results, there has been a desire to exploit this fact. But with reduced integration one must face the danger of instability. Stress projections offer a rational way of constructing elements with reduced integration but no danger of instability.
Belytschko, Ted +4 more
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Shear Locking in B-Spline Based Finite Element Formulations
1995B-spline based finite element formulations (i.e. [1]) are similar to conventional finite element formulations in that they both are based on the Rayleigh-Ritz procedure and both employ polynomial basis functions that have compact support. The principal difference between the two formulations is that finite elements based on splines have basis functions
Allan H. Vermeulen, Glenn R. Heppler
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An Investigation in Finite Element Theory of Shear Locked Elements
2000Abstract : This report shows the theoretical background for some of the problems associated with shear loaded beams using the finite element method. The report develops the theory behind both shell and brick elements on a reduced order by using beam and membrane elements.
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Shear Locking in Bilinear Quadratic Plane Elements
Third International Conference on Advances In Civil, Structural and Environmental Engineering- ACSEE 2015, 2015SHOKRY A, SPILIOPOULOS K V
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Horizontal pushout tests and parametric analyses of a locking-bolt demountable shear connector
Structures, 2022Jun He +2 more
exaly