ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY ORTHOTROPIC COMPOSITE LAMINA WITH A CIRCULAR HOLE UNDER UNIFORM PRESSURE

Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (8): 801-810.

ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY ORTHOTROPIC COMPOSITE LAMINA WITH A CIRCULAR HOLE UNDER UNIFORM PRESSURE

周次青

Department of Mathematics and Mechanics, South China Institute of Technology, Guangzhou

收稿日期:1983-06-06 出版日期:1985-08-18 发布日期:1985-08-18

ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY ORTHOTROPIC COMPOSITE LAMINA WITH A CIRCULAR HOLE UNDER UNIFORM PRESSURE

Zhou Ci-qing

Department of Mathematics and Mechanics, South China Institute of Technology, Guangzhou

Received:1983-06-06 Online:1985-08-18 Published:1985-08-18

摘要/Abstract

摘要： This paper presents the standard parametric representation of the Tsai-Hill yield criterion in a state of plane stress and the equations governing the stress distribution in a cylindrically orthotropic composite lamina with a circular hole under uniform pressure for the three cases: (a) elastic state,(b) limit state and (c) elastoplastic state. The formulas for the yield pressure and the limit pressure have been obtained.

关键词: nonholonomic system, phase space, analytic mechanics, variable mass, Lie symmetry, conserved quantity

Abstract: This paper presents the standard parametric representation of the Tsai-Hill yield criterion in a state of plane stress and the equations governing the stress distribution in a cylindrically orthotropic composite lamina with a circular hole under uniform pressure for the three cases: (a) elastic state,(b) limit state and (c) elastoplastic state. The formulas for the yield pressure and the limit pressure have been obtained.

Key words: nonholonomic system, phase space, analytic mechanics, variable mass, Lie symmetry, conserved quantity

周次青. ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY ORTHOTROPIC COMPOSITE LAMINA WITH A CIRCULAR HOLE UNDER UNIFORM PRESSURE[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(8): 801-810.

Zhou Ci-qing. ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY ORTHOTROPIC COMPOSITE LAMINA WITH A CIRCULAR HOLE UNDER UNIFORM PRESSURE[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(8): 801-810.

[1]	Yong WANG, Chang LIU, Jing XIAO, Fengxiang MEI. Quasi-momentum theorem in Riemann-Cartan space[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(5): 733-746.
[2]	高芳;张晓波;傅景礼. Application of canonical coordinates for solving single-freedom constraint mechanical systems [J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(8): 1029-1038.
[3]	吴惠彬;梅凤翔. Form invariance and conserved quantity for weakly nonholonomic system[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(10): 1293-1300.
[4]	A. B. ROSMILA;R. KANDASAMY;I. MUHAIMIN. Lie symmetry group transformation for MHD natural convection flow of nanofluid over linearly porous stretching sheet in presence of thermal stratification[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(5): 593-604.
[5]	黄卫立;蔡建乐. Conformal invariance for nonholonomic system of Chetaev’s type with variable mass[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1393-1402.
[6]	V.COVIC M.VESKOVIC D.DJURIC A.OBRADOVIC. On the stability of equilibria of nonholonomic systems with nonlinear constraints[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(6): 751-760.
[7]	慕小武;虞继敏;毕卫萍;程代展. ROBUST ADAPTIVE CONTROL OF NONHOLONOMIC SYSTEMS WITH UNCERTAINTIES[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(3): 329-337.
[8]	罗绍凯. FORM INVARIANCE AND NOETHER SYMMETRICAL CONSERVED QUANTITY OF RELATIVISTIC BIRKHOFFIAN SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(4): 468-478.
[9]	王向东;徐小增;梁(汲金)廷. MAXIMUM PRINCIPLES FOR GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(4): 458-467.
[10]	方建会. LIE SYMMETRIES AND CONSERVED QUANTITIES OF SECOND-ORDER NONHOLONOMIC MECHANICAL SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(9): 1105-1110.
[11]	方建会;赵嵩卿;焦志勇. THE LIE SYMMETRIES AND CONSERVED QUANTITIES OF VARIABLE-MASS NONHOLONOMIC SYSTEM OF NON-CHETAEV'S TYPE IN PHASE SPACE[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(10): 1215-1220.
[12]	方建会. THE CONSERVATION LAW OF NONHOLONOMIC SYSTEM OF SECOND-ORDER NON-CHETAVE’S TYPE IN EVENT SPACE[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(1): 89-94.
[13]	方建会. THE CONSERVATION LAW OF SECOND-ORDER NON-HOLONOMIC SYSTEM OF NON-CHETAEV’S TYPE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(7): 836-840.
[14]	李元成;张毅;梁景辉. NOETHER'S THEOREM FOR NONHOLONOMIC SYSTEMS OF NON-CHETAEV'S TYPE WITH UNILATERAL CONSTRAINTS IN EVENT SPACE[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(5): 543-548.
[15]	傅景礼;陈向炜;罗绍凯. LIE SYMMETRIES AND CONSERVED QUANTITIES OF ROTATIONAL RELATIVISTIC SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(5): 549-556.

ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY ORTHOTROPIC COMPOSITE LAMINA WITH A CIRCULAR HOLE UNDER UNIFORM PRESSURE

ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY ORTHOTROPIC COMPOSITE LAMINA WITH A CIRCULAR HOLE UNDER UNIFORM PRESSURE

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价