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Volumn 41, Issue 5, 2008, Pages 661-681

On variational sensitivity analysis and configurational mechanics

Author keywords

Configurational mechanics; Mesh optimization; Shape optimization; Variational sensitivity analysis

Indexed keywords

PROBLEM SOLVING; SENSITIVITY ANALYSIS; SHAPE OPTIMIZATION; STRUCTURAL OPTIMIZATION; VARIATIONAL TECHNIQUES;

EID: 38549088097     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-007-0223-5     Document Type: Article
Times cited : (22)

References (54)
  • 1
    • 4444256024 scopus 로고    scopus 로고
    • An ALE formulation based on spatial and material settings of continuum mechanics. Part 2: Classification and applications
    • Askes H, Kuhl E, Steinmann P (2004) An ALE formulation based on spatial and material settings of continuum mechanics. Part 2: Classification and applications. Comput Methods Appl Mech Eng 193:4223-4245
    • (2004) Comput Methods Appl Mech Eng , vol.193 , pp. 4223-4245
    • Askes, H.1    Kuhl, E.2    Steinmann, P.3
  • 2
    • 23944510974 scopus 로고    scopus 로고
    • Structural optimisation by simultaneous equilibration of spatial and material forces
    • Askes H, Bargmann S, Kuhl E and Steinmann P (2005). Structural optimisation by simultaneous equilibration of spatial and material forces. Commun Numer Meth Eng 21: 433-442
    • (2005) Commun Numer Meth Eng , vol.21 , pp. 433-442
    • Askes, H.1    Bargmann, S.2    Kuhl, E.3    Steinmann, P.4
  • 3
    • 38549119074 scopus 로고    scopus 로고
    • Habilitationsschrift, Braunschweiger Schriften zur Mechanik 44-2002, TU Braunschweig
    • Barthold FJ (2002) Zur Kontinuumsmechanik inverser Geometrieprobleme. Habilitationsschrift, Braunschweiger Schriften zur Mechanik 44-2002, TU Braunschweig, URL http://hdl.handle.net/2003/23095
    • (2002) Zur Kontinuumsmechanik Inverser Geometrieprobleme
    • Barthold, F.J.1
  • 4
    • 38549138003 scopus 로고    scopus 로고
    • A structural optimization viewpoint on configurational mechanics
    • Barthold FJ (2003). A structural optimization viewpoint on configurational mechanics. Proc Appl Math Mech 3: 246-247
    • (2003) Proc Appl Math Mech , vol.3 , pp. 246-247
    • Barthold, F.J.1
  • 6
    • 38549097793 scopus 로고    scopus 로고
    • Remarks on variational shape sensitivity analysis based on local coordinates
    • Barthold FJ (2007) Remarks on variational shape sensitivity analysis based on local coordinates. Eng Anal Bound Elem (in press)
    • (2007) Eng Anal Bound Elem (In Press)
    • Barthold, F.J.1
  • 8
    • 0030083134 scopus 로고    scopus 로고
    • A continuum mechanical based formulation of the variational sensitivity analysis in structural optimization. Part i
    • 1/2
    • Barthold FJ and Stein E (1996). A continuum mechanical based formulation of the variational sensitivity analysis in structural optimization. Part I. Anal Struct Optim 11(1/2): 29-42
    • (1996) Anal Struct Optim , vol.11 , pp. 29-42
    • Barthold, F.J.1    Stein, E.2
  • 9
    • 38549174802 scopus 로고    scopus 로고
    • A comparison of displacement and mixed finite element formulations for variational design sensitivity analysis
    • Mota Soares CA et al (ed) Paper 2003
    • Barthold FJ, Wiechmann K (2006) A comparison of displacement and mixed finite element formulations for variational design sensitivity analysis. In: Mota Soares CA et al (ed) III European conference on computational mechanics, Paper 2003
    • (2006) III European Conference on Computational Mechanics
    • Barthold, F.J.1    Wiechmann, K.2
  • 11
    • 14544302325 scopus 로고    scopus 로고
    • A preconditioner for generalized saddle point problems
    • 1
    • Benzi M and Golub GH (2004). A preconditioner for generalized saddle point problems. Siam J Matrix Anal Appl 26(1): 20-41
    • (2004) Siam J Matrix Anal Appl , vol.26 , pp. 20-41
    • Benzi, M.1    Golub, G.H.2
  • 13
    • 0001990858 scopus 로고    scopus 로고
    • Configurational forces induced by finite-element discretisation
    • Braun M (1997). Configurational forces induced by finite-element discretisation. Proc Estonian Acad Sci Phys Math 46: 24-31
    • (1997) Proc Estonian Acad Sci Phys Math , vol.46 , pp. 24-31
    • Braun, M.1
  • 15
    • 0020125652 scopus 로고
    • Optimum nodal locations for a finite element idealization
    • Carpenter WC and Zendegui S (1982). Optimum nodal locations for a finite element idealization. Eng Optim 5: 215-221
    • (1982) Eng Optim , vol.5 , pp. 215-221
    • Carpenter, W.C.1    Zendegui, S.2
  • 16
    • 0015650563 scopus 로고
    • A theorem for optimum finite-element idealizations
    • Carroll WE and Barker RM (1973). A theorem for optimum finite-element idealizations. Int J Solids Struct 9: 883-895
    • (1973) Int J Solids Struct , vol.9 , pp. 883-895
    • Carroll, W.E.1    Barker, R.M.2
  • 17
    • 18144423116 scopus 로고    scopus 로고
    • Structural sensitivity analysis and optimization 1-Linear systems
    • Springer, Berlin
    • Choi KK, Kim NH (2005a) Structural sensitivity analysis and optimization 1-Linear systems. Mechanical Engineering Series. Springer, Berlin
    • (2005) Mechanical Engineering Series
    • Choi, K.K.1    Kim, N.H.2
  • 18
    • 18144423116 scopus 로고    scopus 로고
    • Structural sensitivity analysis and optimization 2-Nonlinear systems and applications
    • Springer, Berlin
    • Choi KK, Kim NH (2005b) Structural sensitivity analysis and optimization 2-Nonlinear systems and applications, Mechanical Engineering Series. Springer, Berlin
    • (2005) Mechanical Engineering Series
    • Choi, K.K.1    Kim, N.H.2
  • 19
    • 0018105487 scopus 로고
    • Multiparameter structural shape optimization by the finite element method
    • 2
    • Dems K and Mróz Z (1978). Multiparameter structural shape optimization by the finite element method. Int J Numer Methods Eng 13(2): 247-263
    • (1978) Int J Numer Methods Eng , vol.13 , pp. 247-263
    • Dems, K.1    Mróz, Z.2
  • 21
    • 0001826268 scopus 로고
    • The force on an elastic singularity
    • Eshelby JD (1951). The force on an elastic singularity. Philos Trans R Soc Lond 244: 87-112
    • (1951) Philos Trans R Soc Lond , vol.244 , pp. 87-112
    • Eshelby, J.D.1
  • 22
    • 0016576296 scopus 로고
    • The elastic energy-momentum tensor
    • Eshelby JD (1975). The elastic energy-momentum tensor. J Elast 5: 321-335
    • (1975) J Elast , vol.5 , pp. 321-335
    • Eshelby, J.D.1
  • 23
    • 0004236492 scopus 로고    scopus 로고
    • 3 The Johns Hopkins University Press Baltimore
    • Golub GH and Loan CFV (1996). Matrix computations, 3rd edn. The Johns Hopkins University Press, Baltimore
    • (1996) Matrix Computations
    • Golub, G.H.1    Loan, C.F.V.2
  • 24
    • 0030246111 scopus 로고    scopus 로고
    • Computational methods for inverse finite elastostatics
    • 1-2
    • Govindjee S and Mihalic PA (1996). Computational methods for inverse finite elastostatics. Comput Methods Appl Mech Eng 136(1-2): 47-57
    • (1996) Comput Methods Appl Mech Eng , vol.136 , pp. 47-57
    • Govindjee, S.1    Mihalic, P.A.2
  • 25
    • 0032208699 scopus 로고    scopus 로고
    • Computational methods for inverse deformations in quasi-incompressible finite elasticity
    • 5
    • Govindjee S and Mihalic PA (1998). Computational methods for inverse deformations in quasi-incompressible finite elasticity. Int J Numer Meth Eng 43(5): 821-838
    • (1998) Int J Numer Meth Eng , vol.43 , pp. 821-838
    • Govindjee, S.1    Mihalic, P.A.2
  • 27
    • 31444452167 scopus 로고    scopus 로고
    • The inverse deformation mapping in the finite element method
    • 33-35
    • Kalpakides VK and Balassas KG (2005). The inverse deformation mapping in the finite element method. Philos Mag 85(33-35): 4257-4275
    • (2005) Philos Mag , vol.85 , pp. 4257-4275
    • Kalpakides, V.K.1    Balassas, K.G.2
  • 31
    • 4444316271 scopus 로고    scopus 로고
    • An ALE formulation based on spatial and material settings of continuum mechanics. Part 1: Generic hyperelastic formulation
    • Kuhl E, Askes H, Steinmann P (2004) An ALE formulation based on spatial and material settings of continuum mechanics. Part 1: Generic hyperelastic formulation. Comput Methods Appl Mech Eng 193:4207-4222
    • (2004) Comput Methods Appl Mech Eng , vol.193 , pp. 4207-4222
    • Kuhl, E.1    Askes, H.2    Steinmann, P.3
  • 33
    • 38549091224 scopus 로고    scopus 로고
    • Coherence of structural optimization and configurational mechanics
    • 1 10.1002/pamm.200610103
    • Materna D and Barthold FJ (2006). Coherence of structural optimization and configurational mechanics. Proc Appl Math Mech 6(1): 245-246 10.1002/pamm.200610103
    • (2006) Proc Appl Math Mech , vol.6 , pp. 245-246
    • Materna, D.1    Barthold, F.J.2
  • 34
    • 38549148911 scopus 로고    scopus 로고
    • Relations between structural optimization and configurational mechanics with applications to mesh optimization
    • Sienz J, Querin OM, Toropov VV, Gosling PD (eds) St Edmund Hall, Oxford, UK, University of Leeds, UK
    • Materna D, Barthold FJ (2006b) Relations between structural optimization and configurational mechanics with applications to mesh optimization. In: Sienz J, Querin OM, Toropov VV, Gosling PD (eds) Proceedings of the 6th ASMO-UK/ISSMO Conference on Engineering Design Optimization, St Edmund Hall, Oxford, UK, University of Leeds, UK, pp 173-181
    • (2006) Proceedings of the 6th ASMO-UK/ISSMO Conference on Engineering Design Optimization , pp. 173-181
    • Materna, D.1    Barthold, F.J.2
  • 36
    • 41449118709 scopus 로고    scopus 로고
    • Variational design sensitivity analysis in the context of structural optimization and configurational mechanics
    • Materna D, Barthold FJ (2007b) Variational design sensitivity analysis in the context of structural optimization and configurational mechanics. Int J Fract (in press)
    • (2007) Int J Fract (In Press)
    • Materna, D.1    Barthold, F.J.2
  • 38
    • 0029297165 scopus 로고
    • Material forces: Concepts and applications
    • Maugin GA (1995). Material forces: concepts and applications. Appl Mech Rev 48: 213-245
    • (1995) Appl Mech Rev , vol.48 , pp. 213-245
    • Maugin, G.A.1
  • 39
    • 0026455428 scopus 로고
    • Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture
    • Maugin GA and Trimarco C (1992). Pseudomomentum and material forces in nonlinear elasticity: variational formulations and application to brittle fracture. Acta Mech 94: 1-28
    • (1992) Acta Mech , vol.94 , pp. 1-28
    • Maugin, G.A.1    Trimarco, C.2
  • 40
    • 0015586887 scopus 로고
    • Optimization of finite element grids based on minimum potential energy
    • 1
    • McNeice GM and Marcal PE (1973). Optimization of finite element grids based on minimum potential energy. ASME J Eng Ind 95(1): 186-190
    • (1973) ASME J Eng Ind , vol.95 , pp. 186-190
    • Marcal, P.E.1
  • 41
    • 33747403465 scopus 로고    scopus 로고
    • On the numerical modeling of variational arbitrary lagrangian-eulerian (vale) formulations
    • Mosler J and Ortiz M (2006). On the numerical modeling of variational arbitrary lagrangian-eulerian (vale) formulations. Int J Numer Meth Eng 67: 1272-1289
    • (2006) Int J Numer Meth Eng , vol.67 , pp. 1272-1289
    • Mosler, J.1    Ortiz, M.2
  • 42
    • 0036648320 scopus 로고    scopus 로고
    • On material forces and finite element discretizations
    • Mueller R and Maugin GA (2002). On material forces and finite element discretizations. Comput Mech 29: 52-60
    • (2002) Comput Mech , vol.29 , pp. 52-60
    • Mueller, R.1    Maugin, G.A.2
  • 43
    • 0037051076 scopus 로고    scopus 로고
    • On configurational forces in the context of the finite element method
    • Mueller R, Kolling S and Gross D (2002). On configurational forces in the context of the finite element method. Int J Numer Meth Eng 53: 1557-1574
    • (2002) Int J Numer Meth Eng , vol.53 , pp. 1557-1574
    • Mueller, R.1    Kolling, S.2    Gross, D.3
  • 44
    • 3142514522 scopus 로고    scopus 로고
    • Use of material forces in adaptive finite element methods
    • Mueller R, Gross D and Maugin GA (2004). Use of material forces in adaptive finite element methods. Comput Mech 33: 421-434
    • (2004) Comput Mech , vol.33 , pp. 421-434
    • Mueller, R.1    Gross, D.2    Maugin, G.A.3
  • 46
    • 0346319021 scopus 로고
    • A new mathematical theory of simple materials
    • 1
    • Noll W (1972). A new mathematical theory of simple materials. Arch Ration Mech Anal 48(1): 1-50
    • (1972) Arch Ration Mech Anal , vol.48 , pp. 1-50
    • Noll, W.1
  • 47
    • 0034325546 scopus 로고    scopus 로고
    • Application of material forces to hyperelastic fracture mechanics. I. Continuum mechanical settings
    • Steinmann P (2000). Application of material forces to hyperelastic fracture mechanics. I. Continuum mechanical settings. Int J Solids Struct 37: 7371-7391
    • (2000) Int J Solids Struct , vol.37 , pp. 7371-7391
    • Steinmann, P.1
  • 49
    • 0022044673 scopus 로고
    • The gradient of the finite element variational indicator with respect to nodal point coordinates: An explicit calculation and applications in fracture mechanics and mesh optimization
    • 4
    • Sussman T and Bathe KJ (1985). The gradient of the finite element variational indicator with respect to nodal point coordinates: an explicit calculation and applications in fracture mechanics and mesh optimization. Int J Numer Meth Eng 21(4): 763-774
    • (1985) Int J Numer Meth Eng , vol.21 , pp. 763-774
    • Sussman, T.1    Bathe, K.J.2
  • 51
    • 4344605212 scopus 로고    scopus 로고
    • A variational r-adaption and shape-optimization method for finite-deformation elasticity
    • 1
    • Thoutireddy P and Ortiz M (2004). A variational r-adaption and shape-optimization method for finite-deformation elasticity. Int J Numer Meth Eng 61(1): 1-21
    • (2004) Int J Numer Meth Eng , vol.61 , pp. 1-21
    • Thoutireddy, P.1    Ortiz, M.2
  • 54
    • 0027625856 scopus 로고
    • Mesh distortion control in shape optimization
    • 7
    • Zhang S and Belegundu A (1993). Mesh distortion control in shape optimization. AIAA J 31(7): 1360-1362
    • (1993) AIAA J , vol.31 , pp. 1360-1362
    • Zhang, S.1    Belegundu, A.2


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