SUGGESTION OF A NEW DEFINITION OF ANGULAR STRAIN

Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (1): 1083-1090.

SUGGESTION OF A NEW DEFINITION OF ANGULAR STRAIN

严宗达

Tianjin University

收稿日期:1983-04-14 出版日期:1984-01-18 发布日期:1984-01-18

SUGGESTION OF A NEW DEFINITION OF ANGULAR STRAIN

Yan Zong-da

Tianjin University

Received:1983-04-14 Online:1984-01-18 Published:1984-01-18

摘要/Abstract

摘要： A new definition of angular strain is put forward in this paper. Analogous to the definition of linear strain, angular strain is also defined as a rate of change (of angular displacement). It is verified that the new definition is equivalent to the original besides being more convenient for geometrical interpretations. Using this new definition we have deduced the transformation formulas for rotation of coordinate axes, established the strain tensor and proved the Hooke’s law for shearing.

关键词: petroleum, drilling fluid, shaker, Delta-function, unit step function, differential equation, numerical value calculation

Abstract: A new definition of angular strain is put forward in this paper. Analogous to the definition of linear strain, angular strain is also defined as a rate of change (of angular displacement). It is verified that the new definition is equivalent to the original besides being more convenient for geometrical interpretations. Using this new definition we have deduced the transformation formulas for rotation of coordinate axes, established the strain tensor and proved the Hooke’s law for shearing.

Key words: petroleum, drilling fluid, shaker, Delta-function, unit step function, differential equation, numerical value calculation

严宗达. SUGGESTION OF A NEW DEFINITION OF ANGULAR STRAIN[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(1): 1083-1090.

Yan Zong-da. SUGGESTION OF A NEW DEFINITION OF ANGULAR STRAIN[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(1): 1083-1090.

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