Estimating stresses in a partially inflated high altitude balloon using a relaxed energy

Quarterly of Applied Mathematics

Volumn 61, Issue 1, 2003, Pages 17-40

  Collier Jr , William G ^a,b  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

^b Computer Sciences Corporation ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HYDROSTATIC PRESSURE; POTENTIAL ENERGY; STRAIN; STRESS ANALYSIS; THIN FILMS;

RELAXED ENERGY;

BALLOONS;

EID: 0037371532     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1955222     Document Type: Article

References (16)

1. [AS98] A. A. Atai and D. J. Steigmann, Coupled deformations of elastic curves and surfaces, Int. J. Solids Structures 35(16), 1915-1952 (1998)
2. [Bag96] F. Baginski, Modeling nonaxisymmetric off-design shapes of large scientific balloons, AIAA Journal 34(2), 400-407 (1996)
3. [BB98] F. Baginski and K. A. Brakke, Modeling ascent configurations of strained high altitude balloons, AIAA Journal 36(10), 1901-1910 (1998)
4. [BC98] F. Baginski and W. Collier, A mathematical model for the strained shape of a large scientific balloon at float altitude. Manuscript, George Washington University, 1988, J. Appl. Mech., Vol. 67, issue 1, pp. 6-16, 2000
5. [BR95] F. Baginski and S. Ramamurti, Variational principles for ascent shapes of large scientific balloons, AIAA Journal 33(4) 764-768 (1995)
6. [Cia88] P. Ciarlet, Mathematical Elasticity. Vol. 1, Elsevier Science Publishers, Amsterdam, 1988
7. [Dac89] B. Dacorogna, Direct Methods in the Calculus of Variations, Springer-Verlag, 1989
8. [Fis88] D. Fisher, Configuration dependent pressure potentials, Journal of Elasticity 19, 77-84, 1988
9. [HS94] E. M. Haseganu and D. J. Steigmann, Analysis of partly wrinkled membranes by the method of dynamic relaxation, Computational Mechanics 14, 596-614 (1994)
10. [Pip86] A. C. Pipkin, The relaxed energy density for isotropic elastic membranes, IMA Journal of Applied Mathematics 36, 85-99 (1986)
11. [Pip94] A. C. Pipkin, Relaxed energy densities for large deformations of membranes, IMA Journal of Applied Mathematics 52, 297-308 (1994)
12. [Sch91] W. W. Schur, Structural behavior of scientific balloons; finite element simulation and verification, 1991. AIAA-91-3668-CP
13. [Sch97] W. W. Schur, Structural response of a zero-pressure balloon with an axial load tendon. In AIAA International Balloon Technology Conference. AIAA, June 1997
14. [Sou94] A. Soubrier, French contribution to new balloon designs and materials. Adv. Space Res. 14(2), (2)5-(2)12 (1994)
15. [Ste91a] D. J. Steigmann, A note on pressure potentials, Journal of Elasticity 26, 87-93 (1991)
16. [Ste91b] D. J. Steigmann, Tension-field theories of elastic membranes and networks, AMD 124, 41-49 (1991)