膨胀对称的轮廓积分的独立性

Pascal Sansen , Philippe Dufrénoy , Dieter Weichert
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引用次数: 3

摘要

Knowles和Sternberg给出了在弹性域中相对于扩张对称的M积分的定义。这个积分的路径域无关性适用于一些非常有限的应用。对于每一类变换,我们提出了一个修正路径无关域的M积分的定义,以扩大其应用范围。考虑了这一守恒定律与变换有关的证明。
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Indépendance de l'intégrale de contour pour une symétrie de dilatation

Knowles and Sternberg gave the definition of the M integral relative to the dilatational symmetry in the elasticity domain. The path domain independence of this integral correspond to some very restricted applications. We propose to enlarge the field of application in defining for every type of transformation a modified path domain independent M integral. The demonstration that this conservation law is associate to the transformation is considered.

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