-
2
-
-
0018480694
-
A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
-
Allen SM, Cahn JW (1979) A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening. Acta Metall 27:1085-1095
-
(1979)
Acta Metall
, vol.27
, pp. 1085-1095
-
-
Allen, S.M.1
Cahn, J.W.2
-
3
-
-
0024105011
-
Generating optimal topologies in structural design using a homogenization method
-
Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71:197-224
-
(1988)
Comput Methods Appl Mech Eng
, vol.71
, pp. 197-224
-
-
Bendsøe, M.P.1
Kikuchi, N.2
-
4
-
-
0001241926
-
Material interpolation schemes in topology optimization
-
Bendsøe M, Sigmund O (1999) Material interpolation schemes in topology optimization. Arch Appl Mech 69:635-654 (Pubitemid 129588526)
-
(1999)
Archive of Applied Mechanics
, vol.69
, Issue.9-10
, pp. 635-654
-
-
Bendsoe, M.P.1
Sigmund, O.2
-
6
-
-
84859597397
-
-
Preprint Nr.06/2010, Universität Regensburg, Mathematik
-
Blank L, Garcke H, Sarbu L, Srisupattarawanit T, Styles V, Voigt A (2010) Phase-field approaches to structural topology optimization. Preprint Nr.06/2010, Universität Regensburg, Mathematik
-
(2010)
Phase-field Approaches to Structural Topology Optimization
-
-
Blank, L.1
Garcke, H.2
Sarbu, L.3
Srisupattarawanit, T.4
Styles, V.5
Voigt, A.6
-
7
-
-
0035933349
-
Topology optimization using regularized intermediate density control
-
Borrvall T, Petersson J (2001) Topology optimization using regularized intermediate density control. Comput Methods Appl Mech Eng 190:4911-4923
-
(2001)
Comput Methods Appl Mech Eng
, vol.190
, pp. 4911-4923
-
-
Borrvall, T.1
Petersson, J.2
-
9
-
-
0035896055
-
Topology optimization of non-linear elastic structures and compliant mechanisms
-
DOI 10.1016/S0045-7825(00)00278-4, PII S0045782500002784
-
Bruns TE, Tortorelli DA (2001) Topology optimization of non-linear elastic structures and compliant mechanisms. Comput Methods Appl Mech Engng 190:3443-3459 (Pubitemid 32379192)
-
(2001)
Computer Methods in Applied Mechanics and Engineering
, vol.190
, Issue.26-27
, pp. 3443-3459
-
-
Bruns, T.E.1
Tortorelli, D.A.2
-
11
-
-
33846686028
-
Phase-field relaxation of topology optimization with local stress constraints
-
DOI 10.1137/05062723X
-
Burger M, Stainko R (2006) Phase-field relaxation of topology optimization with local stress constraints. SIAM J Control Optim 45:1447-1466 (Pubitemid 47109331)
-
(2006)
SIAM Journal on Control and Optimization
, vol.45
, Issue.4
, pp. 1447-1466
-
-
Burger, M.1
Stainko, R.2
-
12
-
-
33746012315
-
Free energy of a nonuniform system. I. Interfacial free energy
-
Cahn JW, Hilliard JE (1958) Free energy of a nonuniform system. I. Interfacial free energy. J Chem Phys 28:258-267
-
(1958)
J Chem Phys
, vol.28
, pp. 258-267
-
-
Cahn, J.W.1
Hilliard, J.E.2
-
15
-
-
0003204969
-
The finite element method of elliptic problems
-
North-Holland, Amsterdam
-
Ciarlet PG (1978) The finite element method of elliptic problems. Studies in mathematics and its applications, vol 4. North-Holland, Amsterdam
-
(1978)
Studies in Mathematics and Its Applications
, vol.4
-
-
Ciarlet, P.G.1
-
16
-
-
57149116624
-
A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow
-
Feng X, Wu H (2008) A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow. J. Comput. Math. 26:767-796
-
(2008)
J. Comput. Math.
, vol.26
, pp. 767-796
-
-
Feng, X.1
Wu, H.2
-
18
-
-
0030080761
-
A new approach to variable-topology shape design using a constraint on perimeter
-
Haber R, Jog J, Bendsøe M (1996) A new approach to variabletopology shape design using a constraint on perimeter. Struct Optim 11:1-12 (Pubitemid 126651006)
-
(1996)
Structural Optimization
, vol.11
, Issue.1
, pp. 1-12
-
-
Haber, R.B.1
Jog, C.S.2
Bendsoe, M.P.3
-
19
-
-
84990623154
-
Optimal design and relaxation of variational problems, part i-ii
-
141-182
-
Kohn R, Strang G (1986) Optimal design and relaxation of variational problems, part i-ii. Commun Pure Appl Math 39:113-137, 141-182
-
(1986)
Commun Pure Appl Math
, vol.39
, pp. 113-137
-
-
Kohn, R.1
Strang, G.2
-
20
-
-
77953022690
-
Stress-based topology optimization for continua
-
Le C, Norato J, Bruns T, Ha C, Tortorelli D (2010) Stress-based topology optimization for continua. Struct Multidiscipl Optim 41:87-106
-
(2010)
Struct Multidiscipl Optim
, vol.41
, pp. 87-106
-
-
Le Norato C, J.1
Bruns, T.2
Ha, C.3
Tortorelli, D.4
-
21
-
-
0032630565
-
Some convergence results in perimeter-controlled topology optimization
-
Petersson J (1999) Some convergence results in perimeter-controlled topology optimization. Comput Methods Appl Mech Eng 171:123-140
-
(1999)
Comput Methods Appl Mech Eng
, vol.171
, pp. 123-140
-
-
Petersson, J.1
-
23
-
-
0032137868
-
Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima
-
Sigmund O, Peterson J (1998) Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards mesh-dependence and local minima. Struct Optim 16:68-75 (Pubitemid 128647652)
-
(1998)
Structural Optimization
, vol.16
, Issue.1
, pp. 68-75
-
-
Sigmund, O.1
Petersson, J.2
-
25
-
-
74449090868
-
Shape and topology optimization based on the phase field method and sensitivity analysis
-
Takezawa A, Nishiwaki S, Kitamura M (2010) Shape and topology optimization based on the phase field method and sensitivity analysis. J Comput Phys 229:2697-2718
-
(2010)
J Comput Phys
, vol.229
, pp. 2697-2718
-
-
Takezawa, A.1
Nishiwaki, S.2
Kitamura, M.3
-
26
-
-
0010534121
-
An introduction to the homogenization method in optimal design. Optimal shape design
-
Springer, Berlin
-
Tartar L (2000) An introduction to the homogenization method in optimal design. In: Optimal shape design. Lecture notes in mathematics, Troia, 1998, vol 1740. Springer, Berlin
-
(2000)
Lecture Notes in Mathematics, Troia, 1998
, vol.1740
-
-
Tartar, L.1
-
27
-
-
21244504633
-
Synthesis of shape and topology of multi-material structures with a phase-field method
-
DOI 10.1007/s10820-005-3169-y
-
Wang MY, Zhou S (2004) Synthesis of shape and topology of multimaterial structures with a phase-field method. J Comput-aided Mater Des 11:117-138 (Pubitemid 40890933)
-
(2004)
Journal of Computer-Aided Materials Design
, vol.11
, Issue.2-3
, pp. 117-138
-
-
Wang, M.Y.1
Zhou, S.2
-
28
-
-
33846426826
-
3D multi-material structural topology optimization with the generalized Cahn-Hilliard equations
-
Wang MY, Zhou S (2006) 3D multi-material structural topology optimization with the generalized Cahn-Hilliard equations. Comput Model Eng Sci 16:83-102
-
(2006)
Comput Model Eng Sci
, vol.16
, pp. 83-102
-
-
Wang, M.Y.1
Zhou, S.2
-
29
-
-
33845955558
-
Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition
-
DOI 10.1007/s00158-006-0035-9
-
Zhou S, Wang MY (2007) Multimaterial structural topology optimization with generalized Cahn-Hilliard model of multiphase transitions. Struct Multidiscipl Optim 33:89-111 (Pubitemid 46036137)
-
(2007)
Structural and Multidisciplinary Optimization
, vol.33
, Issue.2
, pp. 89-111
-
-
Zhou, S.1
Wang, M.Y.2
|