A generalized variational principle in micromorphic thermoelasticity

Mechanics Research Communications

Volumn 32, Issue 1, 2005, Pages 93-98

  He, Ji Huan ^a  

^a DONGHUA UNIVERSITY   (China)

Author keywords

Micromorphic thermoelasticity; Semi inverse method; Variational principle

Indexed keywords

DEFORMATION; EQUATIONS OF MOTION; PROBLEM SOLVING; STRESSES; TENSORS;

MICRODEFORMATION; MICROMORPHIC THERMOELASTICITY; SEMI-INVERSE METHOD; VARIATIONAL PRINCIPLE;

THERMOELASTICITY;

EID: 8344254453     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2004.06.006     Document Type: Article

References (20)

1. Eringen, A.C., 1964. Mechanics of micromorphic materials. In: Gortler, H. (Ed.), Proc. 11th Int. Congress of Appl. Mech. Springer, New York.
2. Hao, T.H., 2003. Application of the Lagrange multiplier method the semi-inverse method to the search, for generalized variational principle in quantum mechanics. Int. J. Nonlinear Sci. Numer. Simul. 4 (3), 311-312.
3. He, J.H., 1997. Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics. Int. J. Turbo Jet-Engines 14 (1), 23-28.
4. He, J.H., 2000a. A classical variational model for micropolar elastodynamics. Int. J. Nonlinear Sci. Numer. Simul. 1 (2), 133-138.
5. He, J.H., 2000b. Generalized Hellinger-Reissner principle. ASME J. Appl. Mech. 67 (2), 326-331.
6. He, J.H., 2000c. A variational approach to electroelastic analysis of piezoelectric ceramics with surface electrodes. Mech. Res. Commun. 27 (4), 445-450.
7. He, J.H., 2000d. Coupled variational principles of piezoelectricity. Int. J. Eng. Sci. 39 (3), 323-341.
8. He, J.H., 2001a. Hamilton principle and generalized variational principles of linear thermopiezoelectricity. ASME J. Appl. Mech. 68 (4), 666-667.
9. He, J.H., 2001b. Variational theory for linear magneto-electro- elasticity. Int. J. Non-Linear Sci. Numer. Simul. 2 (4), 309-316.
10. He, J.H., 2001c. Minimum energy principles and generalized variational principles of nonlinear piezoelectricity. J. Theor. Appl. Mech. 31 (2), 89-96.
11. He, J.H., 2003. A family of variational principles for linear micromorphic elasticity. Comput. Struct. 81 (21), 2079-2085.
12. He, J.H., Wan, Y.Q., Yu, J.Y., 2004a. Allometric scaling and instability in electrospinning. Int. J. Nonlinear Sci. Numer. Simul. 5 (3), 243-248.
13. He, J.H., Wan, Y.Q., Yu, J.Y., 2004b. Application of vibration technology to polymer electrospinning. Int. J. Nonlinear Sci. Numer. Simul. 5 (3), 253-261.
14. Iesan, D., Nappa, L., 2001. Extremum principles and existence results in micromorphic elasticity. Int. J. Eng. Sci. 39, 2051-2070.
15. Liu, H.M., 2004. Variational approach to nonlinear electrochemical system. Int. J. Nonlinear Sci. Numer. Simul. 5 (1), 95-96.
16. Luan, L., Luan, Y.F., 1999. Variational solution of nonlinear and instant temperature field with circulation symmetry condition. Chin. J. Nucl. Sci. Eng. 19 (3), 241-247 (in Chinese).
17. Mosconi, M., 2002. Mixed variational formulations for continua with microstructure. Int. J. Solids Struct. 39, 4181-4195.
18. Nappa, L., 2001. Variational principles in micromorphic thermoelasticity. Mech. Res. Commun. 28 (4), 405-412.
19. Sun, H., Fu, M., 2001. Semi-inverse method of generalized variational inequalities in elasticity with finite displacement and friction. Chin. J. Mech. Eng. 37 (8), 12-17 (in Chinese).
20. Wan, Y.Q., Guo, Q., Pan, N., 2004. Thermo-electro-hydrodynamic model for electrospinning process. Int. J. Nonlinear Sci. Numer. Simul. 5 (1), 5-8.