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Volumn 20, Issue 5, 1999, Pages 545-556

Further study of the equivalent theorem of Hellinger-Reissner and Hu-Washizu variational principles

Author keywords

Hellinger Reissner principle; Hu Washizu principle; The semi inverse method, trial functional; Variational principles in elasticity

Indexed keywords

CONTINUUM MECHANICS; VARIATIONAL TECHNIQUES;

EID: 0033123608     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02463752     Document Type: Article
Times cited : (3)

References (15)
  • 1
    • 3042781074 scopus 로고
    • Some variational principles in elasticity and plasticity
    • in Chinese
    • Hu Haichang. Some variational principles in elasticity and plasticity, Acta Physica Sinica, 1954,10(3):259-290 (in Chinese)
    • (1954) Acta Physica Sinica , vol.10 , Issue.3 , pp. 259-290
    • Hu, H.1
  • 2
    • 33745999016 scopus 로고
    • On generalized variational principles of elasticity and its application to plate and shell problems [A]
    • Fuzhou: Fujian Education Press, in Chinese
    • Chein Weizang. On generalized variational principles of elasticity and its application to plate and shell problems [A]. In: Selected Works of Chien Weizang [C] . Fuzhou: Fujian Education Press, 1989,419-44 (in Chinese)
    • (1989) Selected Works of Chien Weizang [C] , pp. 419-444
    • Chein, W.1
  • 3
    • 34250149516 scopus 로고
    • Method of high-order lagrange multiplier and generalized variational principles of elasticity with more general forms of functionals [A]
    • Chein Weizang. Method of high-order lagrange multiplier and generalized variational principles of elasticity with more general forms of functionals [A]. Applied Mathematics and Mechanics (English Edition), 1983,4(2):143-157
    • (1983) Applied Mathematics and Mechanics (English Edition) , vol.4 , Issue.2 , pp. 143-157
    • Chein, W.1
  • 4
    • 33746018882 scopus 로고
    • Further study on generalized variational principles in elasticity-discussion with Mr. Hu Haichang on the problem of equivalent theorem [J]
    • in Chinese
    • Chien Weizang. Further study on generalized variational principles in elasticity-discussion with Mr. Hu Haichang on the problem of equivalent theorem [J]. Acta Mechanica Sinica, 1983,4(2):313-323 (in Chinese)
    • (1983) Acta Mechanica Sinica , vol.4 , Issue.2 , pp. 313-323
    • Chien, W.1
  • 5
    • 0021310310 scopus 로고
    • Generalized variational principle in elasticity [J]
    • Chien Weizang. Generalized variational principle in elasticity [J]. Engineering Mechanics in Civil Engineering, 1984 24: 93-152
    • (1984) Engineering Mechanics in Civil Engineering , vol.24 , pp. 93-152
    • Chien, W.1
  • 6
    • 0009356344 scopus 로고
    • A systematic approach to the research and transformation for variational principles in fluid mechanics with emphasis on inverse and hybrid problems [A]
    • Liu Gaolian. A systematic approach to the research and transformation for variational principles in fluid mechanics with emphasis on inverse and hybrid problems [A]. Proc of 1st Int Symp Aerothermo-Dynamics of Internal Flow, 1990, 128-135
    • (1990) Proc of 1st Int Symp Aerothermo-Dynamics of Internal Flow , pp. 128-135
    • Liu, G.1
  • 7
    • 0000357169 scopus 로고    scopus 로고
    • Modified Lagrange multiplier method and generalized variational principles in fluid mechanics[ J]
    • He Jihuan. Modified Lagrange multiplier method and generalized variational principles in fluid mechanics[ J]. J Shanghai University (English Edition), 1997,1(2):117-122
    • (1997) J Shanghai University (English Edition) , vol.1 , Issue.2 , pp. 117-122
    • He, J.1
  • 8
    • 0031441505 scopus 로고    scopus 로고
    • Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics[J]
    • He Jihuan. Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics[J]. Interl J Turbo & Jet-Engines, 1997, 14(1):23-28
    • (1997) Interl J Turbo & Jet-Engines , vol.14 , Issue.1 , pp. 23-28
    • He, J.1
  • 9
    • 0031512469 scopus 로고    scopus 로고
    • A generalized variational principle for 3-D unsteady transonic rotational flow in rotor using clebsch variables[ J]
    • He Jihuan. A generalized variational principle for 3-D unsteady transonic rotational flow in rotor using clebsch variables[ J]. Interl J Turbo & Jet-Engines, 1997,14(1):17-22
    • (1997) Interl J Turbo & Jet-Engines , vol.14 , Issue.1 , pp. 17-22
    • He, J.1
  • 10
    • 0032105441 scopus 로고    scopus 로고
    • A variational theory for one-dimensional unsteady compressible flow: An image plane approach[ J]
    • He Jihuan. A variational theory for one-dimensional unsteady compressible flow: an image plane approach[ J]. Applied Math Modelling, 1998,22:395-403
    • (1998) Applied Math Modelling , vol.22 , pp. 395-403
    • He, J.1
  • 11
    • 0032391682 scopus 로고    scopus 로고
    • A family of variational principles for compressible rotational blade-to-blade flow using semi-inverse method[J]
    • He Jihuan. A family of variational principles for compressible rotational blade-to-blade flow using semi-inverse method[J]. Interl J Turbo & Jet-Engines, 1998,15(2):95-100
    • (1998) Interl J Turbo & Jet-Engines , vol.15 , Issue.2 , pp. 95-100
    • He, J.1
  • 12
    • 0032400236 scopus 로고    scopus 로고
    • Generalized variational principle for compressible S2-flow in mixed-flow turbomachinery using semi-inverse method[J]
    • He Jihuan. Generalized variational principle for compressible S2-flow in mixed-flow turbomachinery using semi-inverse method[J] . Interl J Turbo & Jet-Engines, 1998,15(2):101-107
    • (1998) Interl J Turbo & Jet-Engines , vol.15 , Issue.2 , pp. 101-107
    • He, J.1
  • 13
    • 16844365970 scopus 로고    scopus 로고
    • Generalized Hellinger-Reissner principle[J]
    • accepted
    • He Jihuan. Generalized Hellinger-Reissner principle[J]. ASME J Appl Mech, (accepted), 1999
    • (1999) ASME J Appl Mech
    • He, J.1
  • 14
    • 0039051544 scopus 로고
    • On Lagrange multiplier method[J]
    • in Chinese
    • Hu Haichang. On Lagrange multiplier method[J]. Acta Mechanica Sinica, 1985,17(5):426-434 (in Chinese)
    • (1985) Acta Mechanica Sinica , vol.17 , Issue.5 , pp. 426-434
    • Hu, H.1
  • 15
    • 0003565638 scopus 로고
    • On the variational principles of elasticity and plasticity[R]
    • Aeroelastic and Structures Research Laboratory, Massachuetts Institute of Technology, 25-18, March
    • Washizu K. On the variational principles of elasticity and plasticity[R]. Aeroelastic and Structures Research Laboratory, Massachuetts Institute of Technology, Technical Report, 25-18, March 1955
    • (1955) Technical Report
    • Washizu, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.