Weak Material Approximation of Holes with Traction-Free Boundaries
نویسندگان
چکیده
منابع مشابه
Weak Material Approximation of Holes with Traction-Free Boundaries
Consider the solution of a boundary-value problem for steady linear elasticity in which the computational domain contains one or several holes with traction-free boundaries. The presence of holes in the material can be approximated using a weak material; that is, the relative density of material ρ is set to 0 < = ρ 1 in the hole region. The weak material approach is a standard technique in the ...
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The level set method has become widely used in shape optimization where it allows a popular implementation of the steepest descent method. Once coupled with a weak material approximation [4], a single mesh is only used leading to very efficient and cheap numerical schemes in optimization of structures. However, it has some limitations and cannot be applied in every situation. This work aims at ...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2012
ISSN: 0036-1429,1095-7170
DOI: 10.1137/110835384