Analysis of Soft Fibers with Kinematic Constraints and Cross-Links by Finite Deformation Beam Theory

Journal of Engineering Mechanics

Volumn 137, Issue 8, 2011, Pages 527-536

  Vernerey, Franck ^a   Pak, Ronald Y S ^a  

^a University of Colorado at Boulder   (United States)

Author keywords

Beams; Deformation; Fibers; Kinematics; Structures

Indexed keywords

BEAM THEORIES; BEAMS; BIFURCATION PROBLEM; COMPUTATIONAL PLATFORMS; DISCRETIZATION ERRORS; FIBROUS MICROSTRUCTURE; FINITE DEFORMATIONS; FINITE-ELEMENT; GOVERNING EQUATIONS; KINEMATIC CONSTRAINTS; MATRIX SYSTEMS; MULTIFIBERS; NONLINEAR DIFFERENTIAL EQUATION; NUMERICAL FORMULATION; OTHER APPLICATIONS; TIMOSHENKO BEAMS;

COMPUTATIONAL MECHANICS; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; KINEMATICS; NONLINEAR EQUATIONS;

DEFORMATION;

ACCURACY ASSESSMENT; COMPUTER SIMULATION; DEFORMATION; FINITE ELEMENT METHOD; KINEMATICS; STRUCTURAL ANALYSIS; THEORETICAL STUDY;

EID: 79961084057     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)EM.1943-7889.0000256     Document Type: Article

References (17)

1. Argyris J. Symeonides S. Nonlinear finite element analysis of elastic systems under nonconservative loading-Natural configuration. Part 1. Quasistatic problems. Comput. Methods Appl. Mech. Eng. 1981, 26:373-383. CMMECC, 0045-7825, 10.1016/0045-7825(81)90131-6, and.
2. DaDeppo D. Schmidt R. Sidesway buckling of deep circular arches under concentrated load. J. Appl. Mech. 1969, 36(2):325-327. JAMCAV, 0021-8936, and.
3. Goto Y. Yoshimitsu T. Obata M. Eliptic integral solutions of plane elastica with axial and shear deformation. Int. J. Solids Struct. 1990, 26(4):375-390. IJSOAD, 0020-7683, 10.1016/0020-7683(90)90063-2, and.
4. Huddleston J. Finite deflections and snapthrough of high circular arches. J. Appl. Mech. 1968, 35(4):763-769. JAMCAV, 0021-8936,.
5. Irschik H. Gerstmayr J. continuum mechanics based derivation of Reissner's large-displacement finite-strain beam theory: The case of plane deformations of originally straight Bernoulli-Euler beams. Acta Mech. 2009, 206(1-2):1-21. AMHCAP, 0001-5970, 10.1007/s00707-008-0085-8, and.
6. Kapania R. formulation and implementation of geometrically exact curved beam elements incorporating finite strains and finite rotations. Comput. Methods Appl. Mech. Eng. 1986, 49:55-70. CMMECC, 0045-7825,.
7. Knight N. Carron W.S. Statics collapse of elastic arches. AIAA J. 1997, 35(12):1876-1880. AIAJAH, 0001-1452, 10.2514/2.47, and.
8. Lau G. Large deflection of beams with combined loads. J. Eng. Mech. 1982, 108(1):180-185. JENMDT, 0733-9399,.
9. Pak R. Stauffer E. Nonlinear finite deformation analysis of beams and colunms. J. Eng. Mech. 1994, 120(10):2136-2153. JENMDT, 0733-9399, 10.1061/(ASCE)0733-9399(1994)120:10(2136), and.
10. Ricks E. The application of Newton's method to the problem of elastic stability. J. Appl. Mech. 1972, 39(4):1060-1065. JAMCAV, 0021-8936, 10.1115/1.3422829,.
11. Saje M. variational principle for finite planar deformation of straight slender elastic beams. Int. J. Solids Struct. 1990, 26(8):887-900. IJSOAD, 0020-7683, 10.1016/0020-7683(90)90075-7,.
12. Saje M. Finite element formulation of finite planar deformation of curved elastic beams. Comput. Struct. 1991, 39(3-4):327-337. CMSTCJ, 0045-7949, 10.1016/0045-7949(91)90030-P,.
13. Schmidt R. DaDeppo D. Buckling of clamped circular arches subjected to point load. J. Appl. Math. Phys. (1950-1981) 1972, 23:146. ZAMPA8, 0044-2275, 10.1007/BF01593212, and.
14. Simo J. finite strain beam formulation. The three dimensional dynamic problem. Part 1. Comput. Methods Appl. Mech. Eng. 1985, 49:55-70. CMMECC, 0045-7825, 10.1016/0045-7825(85)90050-7,.
15. Simo J. Vu-Quoc L. three dimensional finite strain rod model. Part II: Computational aspects. Comput. Methods Appl. Mech. Eng. 1986, 58:79-116. CMMECC, 0045-7825, 10.1016/0045-7825(86)90079-4, and.
16. Vernerey F. Liu W. Moran B. Multiscale micromorphic theory for hierarchical materials. J. Mech. Phys. Solids 2007, 55(12):2603-2651. JMPSA8, 0022-5096, 10.1016/j.jmps.2007.04.008, and.
17. Vernerey F. Liu W. Moran B. Olson G. micromorphic model for the multiple scale failure of heterogeneous materials. J. Mech. Phys. Solids 2008, 56(4):1320-1347. JMPSA8, 0022-5096, 10.1016/j.jmps.2007.09.008, and.