دانلود رایگان مقاله لاتین مدل سازی المان برش از سایت الزویر
عنوان فارسی مقاله:
مدل سازی المان برش محدود پوسته خطی
عنوان انگلیسی مقاله:
Cut finite element modeling of linear membranes
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
In this paper we construct finite element methods for linearly elastic membranes embedded in three dimensional space meshed by tetrahedral or hexahedral elements. These meshes do not in general align with the surface of the membrane which instead cuts through the elements. For the modeling of the membrane problems we use tangential differential calculus, introduced for the modeling of surface stresses by Gurtin and Murdoch [1] and for shell models by Delfour and Zolesio [ ´ 2]. The tangential approach was pioneered for use in finite element methods by Dziuk [3] for discretizing the Laplace–Beltrami operator on meshed surfaces, and has become a standard method of developing discrete schemes on surfaces, cf. Dziuk and Elliott [4] and references therein. The approach was subsequently employed by Hansbo and Larson [5] for meshed membranes, and the aim of this paper is to extend this work following Olshanskii, Reusken, and Grande [6] and construct a Galerkin method by using restrictions of the 3D basis functions defined on the three-dimensional mesh to the surface. This approach can lead to severe ill conditioning, so we adapt a stabilization technique proposed by Burman, Hansbo, and Larson [7] for the Laplace–Beltrami operator to the membrane problem.
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کلمات کلیدی:
PDF]Cut Finite Element Methods for Linear Elasticity ... - ResearchGate https://www.researchgate.net/...Cut_Finite_Element.../Cut-Finite-Element-Methods-for... by P Hansbo - 2017 Mar 13, 2017 - We formulate a cut finite element method for linear elasticity based on ... 6 Modeling of Embedded Structures with Application to Fibre Re-. Cut finite element methods | SeRC www.e-science.se › Communities › Numerical Analysis › Numerical Analysis Projects The cut finite element spaces are constructed by first embedding the domain in a ... where time-dependent coupled bulk-surface PDEs modeling the evolution of ... Experimental and finite element modelling of ultrasonic cutting of food ... theses.gla.ac.uk/264/ by E McCulloch - 2008 - Cited by 12 - Related articles Oct 2, 2013 - McCulloch, Euan (2008) Experimental and finite element modelling of ... including the food processing industry to cut a variety of materials. Cut finite element methods for coupled bulk–surface problems ... link.springer.com/article/10.1007/s00211-015-0744-3 by E Burman - 2016 - Cited by 23 - Related articles Feb 7, 2015 - We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the ... [PDF]Cut finite element modeling of embedded lower ... - Eccomas 2016 https://www.eccomas2016.org/proceedings/pdf/6531.pdf ECCOMAS Congress 2016. Cut finite element modeling of embedded lower-dimensional elasticity models. Mirza Cenanovic. 1. , Peter Hansbo. 1*. , Mats G.
