Shear Locking in a Plane Elasticity Problem and the Enhanced Assumed Strain Method
نویسندگان
چکیده
منابع مشابه
Shear Locking in a Plane Elasticity Problem and the Enhanced Assumed Strain Method
The method of enhanced assumed strains (EAS) is a popular tool for avoiding locking phenomena, e.g., a remedy for shear locking in plane elasticity. We consider bending-dominated problems on thin bodies which can be treated as beams and prove that the degree of approximation of the EAS method is at least as good as that of a beam model. The hypercircle method is combined with arguments of nonco...
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Stiffness matrix of the four-node quadrilateral plane stress element is decomposed into normal and shear components. A computer program is developed to obtain the straining modes using adequate and reduced integration. Then a solution for the problem of mixing straining modes is found. Accuracy of the computer program is validated by a closed-form stiffness matrix, derived for the plane rectang...
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Plane-strain deformations of an isotropic and homogeneous Hookean body containing a crack are studied and it is required that the dilatation everywhere in the body be. greater than or equal to a constant. Following Prager, the region where the dilatation always equals the constant is identified as the locking region. For the case when the deformations of the body are symmetrical about the plane...
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Loading a specimen as shown in Figure 1a produces shear stresses in the material. An initially square element of the material, having vertical sides parallel to the direction of loading, is distorted by these stresses into a diamond shape as illustrated in Figure 1b, where the distortion is greatly exaggerated for pictorial clarity. Shear strain is defined as the magnitude of the change in the ...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2010
ISSN: 0036-1429,1095-7170
DOI: 10.1137/080728147