Large strain analysis of beams and arches undergoing large rotations

被引：18

作者：

Gummadi, LNB ^{[1
]}

Palazotto, AN ^{[1
]}

机构：

[1] USAF, Inst Technol, Dept Aeronaut & Astronaut, Wright Patterson AFB, OH 45433 USA

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1998年 / 33卷 / 04期

关键词：

2nd Piola-Kirchhoff stress; Green strain finite element; beams; arches; curvilinear coordinates;

D O I：

10.1016/S0020-7462(97)00033-4

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A geometrically non-linear finite element formulation based on the total Lagrangian approach is developed for laminated composite beams and arches considering large strain effects. Explicit expressions for the changes in the constitutive equations relating the Green strain to the 2nd Piola-Kirchhoff stress due to large strains are presented in curvilinear coordinates. Relationships between the Euler stress-Almansi strain measures and 2nd Piola-Kirchhoff stress-Green strain measures are used to determine the new constitutive relations. Large strain effects on load displacement characteristics are studied for both isotropic and laminated structures when they are undergoing large displacements and rotations. Published by Elsevier Science Ltd.

引用

页码：615 / 645

页数：31

共 22 条

[1]

ANTMAN SS, 1989, ANAL COMPUTATIONAL M, P109

[2]

Bathe K, 2000, FINITE ELEMENT METHO

[3] APPLICATIONS OF HIGHER-ORDER COROTATIONAL STRETCH THEORIES TO NON-LINEAR FINITE-ELEMENT ANALYSIS [J].

BELYTSCHKO, T ;

GLAUM, LW .

COMPUTERS & STRUCTURES, 1979, 10 (1-2) :175-182

[4]

CRAGHAN SG, 1994, COMPUT STRUCT, V4, P357

[5]

DEDEPPO DA, 1974, J APPL MECH, V41, P989

[6]

Epstein M., 1976, Computers and Structures, V6, P1, DOI 10.1016/0045-7949(76)90067-5

[7]

FUNG Y. C., 1965, Foundations of solid mechanics

[8] FINITE DEFLECTIONS AND SNAP-THROUGH OF HIGH CIRCULAR ARCHES [J].

HUDDLESTON, JV .

JOURNAL OF APPLIED MECHANICS, 1968, 35 (04) :763-+

[9] NONLINEAR FINITE-ELEMENT ANALYSIS OF COMPOSITE BEAMS AND ARCHES USING A LARGE ROTATION THEORY [J].

MILLER, DA ;

PALAZOTTO, AN .

FINITE ELEMENTS IN ANALYSIS AND DESIGN, 1995, 19 (03) :131-152

[10] EXPERIMENTS AND ANALYSIS FOR COMPOSITE BLADES UNDER LARGE DEFLECTIONS .1. STATIC BEHAVIOR [J].

MINGUET, P ;

DUGUNDJI, J .

AIAA JOURNAL, 1990, 28 (09) :1573-1579

← 1 2 3 →