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Volumn 164, Issue 3-4, 1998, Pages 287-296

Parametrized Lagrange multiplier method and construction of generalized mixed variational principles for computational mechanics

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; ELASTICITY; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; VARIATIONAL TECHNIQUES;

EID: 0032183719     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00029-2     Document Type: Article
Times cited : (6)

References (28)
  • 2
    • 0039643778 scopus 로고
    • Further study on generalized variational principles in elasticity - Discussion with Mr. Hu Haichang on the problem of equivalent theorem
    • in Chinese
    • [2] Chien Weizang, Further study on generalized variational principles in elasticity - discussion with Mr. Hu Haichang on the problem of equivalent theorem, Acta Mech. Sinica 4 (1983) 325-340 (in Chinese).
    • (1983) Acta Mech. Sinica , vol.4 , pp. 325-340
    • Weizang, C.1
  • 3
    • 0002835835 scopus 로고
    • A variational principle with split modulus in elasticity
    • Chengdu, China (in Chinese)
    • [3] Ting-Yu Rong, A variational principle with split modulus in elasticity, J. of Southwest Jiaotong Univ. 1 (1981) 48-56, Chengdu, China (in Chinese).
    • (1981) J. of Southwest Jiaotong Univ. , vol.1 , pp. 48-56
    • Rong, T.-Y.1
  • 4
    • 0006806716 scopus 로고
    • A variational principle with split stiffness in the mechanics of thin elastic shells, plates and bar systems
    • Edited by the Department of Scientific Affairs, Southwest Jiaotong Univ., Chengdu, China. Also presented at the First National Conf. on Computing in Civ. Engrg., Kunming, China, Dec., 1981 (in Chinese)
    • [4] Ting-Yu Rong, A variational principle with split stiffness in the mechanics of thin elastic shells, plates and bar systems, Collected Papers from 1981 Symposium on Scientific Research, Edited by the Department of Scientific Affairs, Southwest Jiaotong Univ., Chengdu, China (1981) 213-215. Also presented at the First National Conf. on Computing in Civ. Engrg., Kunming, China, Dec., 1981 (in Chinese).
    • (1981) 1981 Symposium on Scientific Research , pp. 213-215
    • Rong, T.-Y.1
  • 5
    • 0006770053 scopus 로고
    • Generalized mixed variational principles and finite element methods in elasticity
    • Chongqing, China (in Chinese)
    • [5] Ting-Yu Rong, Generalized mixed variational principles and finite element methods in elasticity, Proc. First Conf. on Computational Mechanics in Sichuan Province, Vol. 1, Chongqing, China (1983) 1-13 (in Chinese).
    • (1983) Proc. First Conf. on Computational Mechanics in Sichuan Province , vol.1 , pp. 1-13
    • Rong, T.-Y.1
  • 6
    • 0024608943 scopus 로고
    • Parametrized multifield variational principles in elasticity: I. Mixed functionals
    • [6] C.A. Felippa, Parametrized multifield variational principles in elasticity: I. Mixed functionals, Comm. Appl. Numer. Methods 5 (1989) 79-88.
    • (1989) Comm. Appl. Numer. Methods , vol.5 , pp. 79-88
    • Felippa, C.A.1
  • 7
    • 0028384556 scopus 로고
    • A survey of parametrized variational principles and applications to computational mechanics
    • [7] C.A. Felippa, A survey of parametrized variational principles and applications to computational mechanics, Comput. Methods Appl. Mech. Engrg. 113 (1994) 109-139.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.113 , pp. 109-139
    • Felippa, C.A.1
  • 8
    • 0006809033 scopus 로고
    • Generalized mixed variational principle and FEM in elasticity
    • Beijing (in Chinese)
    • [8] Ting-Yu Rong, Generalized mixed variational principle and FEM in elasticity, Adv. Mech. 2 (1987) 186-199, Beijing (in Chinese).
    • (1987) Adv. Mech. , vol.2 , pp. 186-199
    • Rong, T.-Y.1
  • 9
    • 0006869806 scopus 로고
    • Generalized mixed variational principles in elasticity and the finite element method
    • in Chinese
    • [9] Ting-Yu Rong, Generalized mixed variational principles in elasticity and the finite element method, Acta Mech. Sinica 2 (1988) 153-164 (in Chinese).
    • (1988) Acta Mech. Sinica , vol.2 , pp. 153-164
    • Rong, T.-Y.1
  • 10
    • 45549117593 scopus 로고
    • Generalized mixed variational principles and new FEM models in solid mechanics
    • [10] Ting-Yu Rong, Generalized mixed variational principles and new FEM models in solid mechanics, Int. J. Solids Struct. 24 (1988) 1331-1140.
    • (1988) Int. J. Solids Struct. , vol.24 , pp. 1331-11140
    • Rong, T.-Y.1
  • 12
    • 0039051549 scopus 로고
    • More generalized hybrid variational principle and finite element model
    • in Chinese
    • [12] Chen Wan-Ji, More generalized hybrid variational principle and finite element model, J. of Hefei Polytechnic Univ. 4 (1983) 84-97 (in Chinese).
    • (1983) J. of Hefei Polytechnic Univ. , vol.4 , pp. 84-97
    • Wan-Ji, C.1
  • 13
    • 0040235513 scopus 로고
    • On the connection between the functionals of equivalent variational principles
    • in Chinese
    • [13] Hu Haichang, On the connection between the functionals of equivalent variational principles, Acta Mech. Solida 2 (1992) 148-153 (in Chinese).
    • (1992) Acta Mech. Solida , vol.2 , pp. 148-153
    • Haichang, H.1
  • 14
    • 0040235518 scopus 로고    scopus 로고
    • Sublimation theorem for variational principles, working mechanism and limitations of Lagrange multiplier
    • Southwest Jiaotong Univ. Chengdu, China (in Chinese)
    • [14] Ting-Yu Rong and An-Qi Lu, Sublimation theorem for variational principles, working mechanism and limitations of Lagrange multiplier, Technical Report No. SWJ-013/97, Southwest Jiaotong Univ., 1997. Chengdu, China (in Chinese).
    • (1997) Technical Report No. SWJ-013/97
    • Rong, T.-Y.1    Lu, A.-Q.2
  • 15
    • 0003565638 scopus 로고
    • On the variational principles of elasticity and plasticity
    • Aeroelastic and Structures Research Laboratory, Massachusetts Institute of Technology
    • [15] K. Washizu, On the variational principles of elasticity and plasticity, Aeroelastic and Structures Research Laboratory, Massachusetts Institute of Technology, Technical Report 25-58, 1955.
    • (1955) Technical Report 25-58
    • Washizu, K.1
  • 17
    • 0040235517 scopus 로고
    • On Lagrange multiplier and its uniqueness problem
    • in Chinese
    • [17] Chien Weizang, On Lagrange multiplier and its uniqueness problem, Acta Mech. Sinica 4 (1988) 313-323 (in Chinese).
    • (1988) Acta Mech. Sinica , vol.4 , pp. 313-323
    • Weizang, C.1
  • 18
    • 0039643782 scopus 로고    scopus 로고
    • What is the problem with the derivation of Hu-Washizu variational principle
    • by K. Washizu, Southwest Jiaotong Univ., Chengdu, China (in Chinese)
    • [18] Ting-Yu Rong and An-Qi Lu, What is the problem with the derivation of Hu-Washizu variational principle by K. Washizu, Technical Report No. SWJ-004/97, Southwest Jiaotong Univ., 1997, Chengdu, China (in Chinese).
    • (1997) Technical Report No. SWJ-004/97
    • Rong, T.-Y.1    Lu, A.-Q.2
  • 19
    • 0040830129 scopus 로고
    • On the connection between Hellinger-Reissner and Hu-Washizu variational principles
    • in Chinese
    • [19] Hu Haichang, On the connection between Hellinger-Reissner and Hu-Washizu variational principles, Acta Mech. Sinica 3 (1983) 301-304 (in Chinese).
    • (1983) Acta Mech. Sinica , vol.3 , pp. 301-304
    • Haichang, H.1
  • 20
    • 0039051544 scopus 로고
    • On the method of Lagrange multiplier and others
    • in Chinese
    • [20] Hu Haichang, On the method of Lagrange multiplier and others, Acta Mech. Sinica 5 (1985) 426-434 (in Chinese).
    • (1985) Acta Mech. Sinica , vol.5 , pp. 426-434
    • Haichang, H.1
  • 21
    • 0002532989 scopus 로고    scopus 로고
    • Parametrized Lagrange multiplier method and proof of full independence of the three-field variables in Hu-Washizu variational principle and others
    • Chengdu, China (in Chinese)
    • [21] Ting-Yu Rong and An-Qi Lu, Parametrized Lagrange multiplier method and proof of full independence of the three-field variables in Hu-Washizu variational principle and others, J. of Southwest Jiaotong Univ. 1 (1997) 84-92, Chengdu, China (in Chinese).
    • (1997) J. of Southwest Jiaotong Univ. , vol.1 , pp. 84-92
    • Rong, T.-Y.1    Lu, A.-Q.2
  • 24
    • 0002583624 scopus 로고
    • The finite element method with split elastic modulus in elasticity
    • Chengdu, China (in Chinese)
    • [24] Ting-Yu Rong, The finite element method with split elastic modulus in elasticity, J. of Southwest Jiaotong Univ.1 (1981) 56-63, Chengdu, China (in Chinese).
    • (1981) J. of Southwest Jiaotong Univ. , vol.1 , pp. 56-63
    • Rong, T.-Y.1
  • 25
    • 0006812006 scopus 로고
    • The matrix method with split stiffness for structural analysis
    • Edited by the Department of Scientific Affairs, Southwest Jiaotong Univ., Chengdu, China. Also presented at the First National Conf. on Computing in Civ. Engrg. Kunming, China, Dec., 1981 (in Chinese)
    • [25] Ting-Yu Rong, The matrix method with split stiffness for structural analysis, Collected Papers from 1981 Symposium on Scientific Research, Edited by the Department of Scientific Affairs, Southwest Jiaotong Univ., Chengdu, China (1981) 216-225. Also presented at the First National Conf. on Computing in Civ. Engrg. Kunming, China, Dec., 1981 (in Chinese).
    • (1981) 1981 Symposium on Scientific Research , pp. 216-225
    • Rong, T.-Y.1
  • 26
    • 0006806718 scopus 로고
    • A new generalized mixed FEM model and its application to fracture mechanics
    • June, Hangzhou, China
    • [26] Ting-Yu Rong, A new generalized mixed FEM model and its application to fracture mechanics, Proc. Second Int. Conf. on Computing in Civ. Engrg., June, 1985, Hangzhou, China, 939-946.
    • (1985) Proc. Second Int. Conf. on Computing in Civ. Engrg. , pp. 939-946
    • Rong, T.-Y.1
  • 27
    • 0039643779 scopus 로고    scopus 로고
    • On the varieties in nature of the functionals of parametrized variational principles and their significance
    • Southwest Jiaotong Univ., Chengdu, China (in Chinese)
    • [27] Ting-Yu Rong and An-Qi Lu, On the varieties in nature of the functionals of parametrized variational principles and their significance, Technical Report No. SWJ-010/97, Southwest Jiaotong Univ., 1997, Chengdu, China (in Chinese).
    • (1997) Technical Report No. SWJ-010/97
    • Rong, T.-Y.1    Lu, A.-Q.2
  • 28
    • 0039643777 scopus 로고    scopus 로고
    • Criterion and formulation for optimizing the splitting factor contained in the parametrized variational principles applied to FEM
    • Southwest Jiaotong Univ., Chengdu, China, (in Chinese)
    • [28] Ting-Yu Rong and An-Qi Lu, Criterion and formulation for optimizing the splitting factor contained in the parametrized variational principles applied to FEM, Technical Report, No. SWJ-014/97, Southwest Jiaotong Univ., Chengdu, China, 1997 (in Chinese).
    • (1997) Technical Report, No. SWJ-014/97
    • Rong, T.-Y.1    Lu, A.-Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.