Geometrically exact theory of contact interactions – a general approach with a special focus on curve‐tosurface contact
Geometrically exact theory of contact interactions – a general approach with a special focus on curve‐tosurface contact
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接触相互作用的几何精确理论——一种特别关注曲线与曲面接触的通用方法
DOI：
10.1002/gamm.201410002
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发表时间：
--
期刊：
影响因子：
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通讯作者：
Schweizerhof K.
中科院分区：
文献类型：
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作者：
Konyukhov A;Schweizerhof K.
接触相互作用的几何精确理论旨在发展统一的计算接触算法的几何公式，用于各种接触体的几何情况，导致接触对：面对面，曲线对表面，点对表面，曲线对曲线，点对曲线，点对点。根据接触体的协变和封闭几何形式，考虑相应的计算接触算法的构造。这些形式可以在独立于近似阶数的有限元方法中很容易地离散化，因此，结果可以直接应用于任何其他方法：高阶有限元方法，等几何有限元方法等。对于具有等向和各向异性表面的物体之间的接触，对于电缆和曲线梁之间的接触，应用是直接的。最近的发展包括描述“曲线-表面”接触对的各种方法；以及“固体梁-固体梁”接触算法，充分解决了“曲线-曲线”接触算法的“平行切线”问题。（©2014 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim）
Geometrically exact theory of contact interactions is aiming on the development of the unified geometrical formulation of computational contact algorithms for various geometrical situations of contacting bodies leading to contact pairs: surface‐to‐surface, curve‐to‐surface, point‐to‐surface, curve‐to‐curve, point‐to‐curve, point‐to‐point. The construction of the corresponding computational contact algorithms is considered in accordance with the geometry of contacting bodies in covariant and closed forms. These forms can be easily discretized within finite element methods independently of the order of approximation and, therefore, the result is straightforwardly applied within any further method: high order finite element methods, iso‐geometric finite element methods etc. Application for contact between bodies with iso‐ and anisotropic surface, for contact between cables and curvilinear beams is straightforward. Recent developments include the various approaches to describe the ”Curve‐to‐Surface” contact pair; and the “Solid Beam‐to‐Solid Beam” contact algorithm, fully resolving the problem of “parallel tangents” of “Curve‐to‐Curve” contact algorithm. (© 2014 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
绳索与各向异性粗糙表面的接触
DOI：
10.1002/zamm.201300129
发表时间：
2013
期刊：
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
影响因子：
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作者：
Konyukhov A.
通讯作者：
Konyukhov A.
影响因子：
4.1
作者：
Przemysław Litewka
通讯作者：
Przemysław Litewka