Efficient finite element scheme for viscoelasticity with moving boundaries

Computational Mechanics

Volumn 24, Issue 6, 2000, Pages 503-512

  Rivkin, L ^a   Givoli, D ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; INTEGRATION; MATHEMATICAL MODELS; SOLID PROPELLANTS;

MEMORY TRICK; MOVING BOUNDARY;

VISCOELASTICITY;

EID: 0033881198     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050009     Document Type: Article

References (28)

1. Kuang Z-B, Atluri SN (1985) Temperature field due to a moving heat source: a moving mesh finite element analysis. ASME J. Appl. Mech. 52:274-280
2. Nishioka T, Atluri SN (1980) Numerical modeling of dynamic crack propagation in finite bodies by moving singular elements, part 1: formulation. ASME J. Appl. Mech. 47:570-576
3. Nishioka T, Atluri SN (1980) Numerical modeling of dynamic crack propagation in finite bodies by moving singular elements, part 2: results. ASME J. Appl. Mech. 47:577-582
4. Qin Z, Dost S, Djilali N, Tabarrok B (1995) Finite element model for liquid phase electroepitaxy. Int. J. Numer. Meth. Eng. 38:3949-3968
5. Shin S, Lee WI (1995) Analysis of the non-isothermal mold filling process using finite element method. J. Materials Processing and Manufacturing Sci. 3:333-357
6. Hoe WJ, Hyun KD, Soo HJ (1997) Modelling of crystal growth process in heat exchanger method. J. Crystal Growth 174:13-18
7. Lynch DR (1982) Unified approach to simulation on deforming elements with application to phase change problems. J. Comput. Phys. 47:387-411
8. Miller K, Miller RN (1981) Moving finite elements. I. SIAM J. Num. Anal. 18:1019-1032
9. Miller K, Miller RN (1981) Moving finite elements. II. SIAM J. Num. Anal. 18:1033-1057
10. Lynch DR, O'Neill K (1981) Continuously deforming finite elements for the solution of parabolic problems, with and without phase change. Int. J. Num. Meth. Eng. 17:81-96
11. Tezduyar TE, Behr M, Liou J (1992) A new strategy for finite element computations involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure. I. The concept and the preliminary numerical tests. Comput. Meth. Appl. Mech. Eng. 94:339-351
12. Hansbo P (1998) Moving finite element methods by use of space-time elements: I. Scalar problems. Numer. Meth. Part. Diff. Eqs. 14:251-262
13. Boehmer JR, Funk G, Jordan M, Fett FN (1998) Strategies for coupled analysis of thermal strain history during continuous solidification processes. Adv. Eng. Software 29:679-697
14. Inoue T, Ju D-Y (1992) Analysis of solidification and viscoplastic stresses incorporating a moving boundary. An application to simulation of the centrifugal casting process. J. Thermal Stresses 15:109-128
15. Givoli D, Levit I (1986) A solution of one-dimensional moving boundaries problems by the finite element method. Comput. Struct. 24:273-280
16. Berry DM, Stansberry MD (1989) Analysis of space shuttle solid rocket booster AFT skirt using ANSYS substructuring, submodeling, and plasticity features, ASME Pressure Vessels and Piping Division 177:89-98
17. Timin C, Xiao H (1990) Simple method for numerical simulation of temperature response of the solid rocket nozzle. J. Thermophys. Heat Transfer 4:42-46
18. Chang IS, Patel NR, Yang S (1995) Titan IV motor failure and redesign analyses. AIAA J. Spacecraft Rockets 32:612-618
19. Lajczok MR (1995) Effective propellant modulus approach for solid rocket motor ignition structural analysis. Comput. Struct. 56:101-104
20. Ying HS, Gerard C (1998) Modified fracture mechanics approach in structural analysis of solid-rocket motors. J. Propulsion Power 14:409-415
21. Herrmann LR, Peterson FE (1968) A numerical procedure for viscoelastic stress analysis. In Proc. 7th Meeting of ICRPG Mechanical Behavior Working Group, Orlando, Florida, USA
22. Taylor RL, Pister KS, Goudreau GL (1970) Thermomechanical analysis of viscoelastic solids. Int. J. Num. Meth. Eng. 2:45-59
23. Fung YC (1965) Foundations of Solid Mechanics. Prentice-Hall, Englewood Cliffs, NJ
24. Shaw S, Warby MK, Whiteman JR, Dawson C (1994) Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids. Comput. Meth. Appl. Mech. Eng. 118:211-238
25. Linz P (1985) Analytical and Numerical Methods for Volterra Equations. SIAM Studies in Applied Mathematics, SIAM, Philadelphia, PA
26. Simo JC and Hughes TJR (1998) Computational Inelasticity. Springer, New York, NY
27. Patlashenko I, Barbone P, Givoli D (1999) Numerical solution of systems of integro-differential equations. Tech. Report No. AM-99-008, Boston University, Boston, MA
28. Crank J (1984) Free and Moving Boundary Problems. Clarendon Press, Oxford, UK