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Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (1): 1-6.

• 论文 •    下一篇

UNIFIED DEFINITION OF DIVERGENCE, CURL, AND GRADIENT

戴振铎   

  1. Department of Electrical Engineering and Computer Science University of Michigan Ann An for, Michigan, U. S. A.
  • 收稿日期:1984-11-15 出版日期:1986-01-18 发布日期:1986-01-18

UNIFIED DEFINITION OF DIVERGENCE, CURL, AND GRADIENT

Chen-to Tai   

  1. Department of Electrical Engineering and Computer Science University of Michigan Ann An for, Michigan, U. S. A.
  • Received:1984-11-15 Online:1986-01-18 Published:1986-01-18

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摘要： In this note the differential expressions of divergence, curl, and gradient are derived based on one common model. Each of them involves the limiting value of a differential quantity per unit volume. By taking advantage of some differential relations of the unit vectors weighted by the metric coefficients, the full expressions of these three quantities in vector analysis can be readily derived.

关键词: fiber-reinforced composite, multi-interfaces, scattering of elastic waves, dynamic stress concentration

Abstract: In this note the differential expressions of divergence, curl, and gradient are derived based on one common model. Each of them involves the limiting value of a differential quantity per unit volume. By taking advantage of some differential relations of the unit vectors weighted by the metric coefficients, the full expressions of these three quantities in vector analysis can be readily derived.

Key words: fiber-reinforced composite, multi-interfaces, scattering of elastic waves, dynamic stress concentration

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