Erratum for “Higher-Order Finite Element for Plane Stress”
نویسندگان
چکیده
منابع مشابه
A Family of Higher Order Mixed Finite Element Methods for Plane Elasticity
The Dirichlet problem for the equations of plane elasticity is approximated by a mixed finite element method using a new family of composite finite elements having properties analogous to those possessed by the Raviart-Thomas mixed finite elements for a scalar, second-order elliptic equation. Estimates of optimal order and minimal regularity are derived for the errors in the displacement vector...
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This article demonstrates a new approach for nonlinear finite element analysis. The methodology is very suitable and gives very accurate results in linear as well as in nonlinear range of the material behavior. Proposed methodology can be regarded as stress based finite element analysis as it is required to define the stress distribution within the structural body with structural idealization a...
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The following small mistakes where found in [GM] and the corresponding corrections should be introduced: • Statement of Proposition 2.1 (page 2129); statement of Theorem 2.2 (page 2130): replace s+ α ≤ r + 1 τ∗ by s+ α < r + 1. • Second line of Section 4.2 (page 2142), replace s < r+ max{1, 1 p} = r+ 1 p∗ by s < r + 1. • Remark 4.8 (page 2143): Replace s < r′ + max{1, 1 p} by s < r ′ + 1. • Rem...
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In this paper we shall discuss the numerical simulation of higher order geometric flows by level set methods. Main examples under considerations are surface diffusion and the Willmore flow as well as variants and of them with more complicated surface energies. Such problems find various applications, e.g. in materials science (crystal growth, thin film technology), biophysics (membrane shapes),...
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To analyze resonances in an axisymmetric inhomogeneous cavity, a higher-order finite element method (FEM) is developed. Mixed higher-order node-based and edge-based elements are applied to eigenvalue analysis for the azimuthal component and meridian components of the field, respectively. Compared with the lower-order FEM, the higher-order FEM can improve accuracy with the same number of unknown...
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ژورنال
عنوان ژورنال: Journal of the Engineering Mechanics Division
سال: 1968
ISSN: 0044-7951,2690-2427
DOI: 10.1061/jmcea3.0000957