-
1
-
-
23144462715
-
An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites
-
02212739 10.1016/j.ijsolstr.2005.03.016
-
H Berger S Kari U Gabbert R Rodríguez-Ramos R Guinovart- Díaz JA Otero J Bravo-Castillero 2005 An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites Int J Solids Struct 42 21-22 5692 5714 02212739 10.1016/j.ijsolstr. 2005.03.016
-
(2005)
Int J Solids Struct
, vol.42
, Issue.2122
, pp. 5692-5714
-
-
Berger, H.1
Kari, S.2
Gabbert, U.3
Rodríguez-Ramos, R.4
Guinovart-Díaz, R.5
Otero, J.A.6
Bravo-Castillero, J.7
-
2
-
-
0031779376
-
Finite element modeling of lead magnesium niobate electrostrictive materials: Static analysis
-
10.1121/1.423047
-
J-C Debus B Dubus J Coutte 1998 Finite element modeling of lead magnesium niobate electrostrictive materials: static analysis J Acoust Soc Am 103 6 3336 3343 10.1121/1.423047
-
(1998)
J Acoust Soc Am
, vol.103
, Issue.6
, pp. 3336-3343
-
-
Debus, J.-C.1
Dubus, B.2
Coutte, J.3
-
5
-
-
6544226089
-
Elastic properties of reinforced solids-some theoretical principles
-
0114.15804 10.1016/0022-5096(63)90036-X
-
R Hill 1963 Elastic properties of reinforced solids-some theoretical principles J Mech Phys Solids 11 357 372 0114.15804 10.1016/0022-5096(63)90036-X
-
(1963)
J Mech Phys Solids
, vol.11
, pp. 357-372
-
-
Hill, R.1
-
6
-
-
0028545824
-
A fully coupled constitutive model for electrostrictive ceramic materials
-
10.1177/1045389X9400500610
-
CL Hom N Shankar 1994 A fully coupled constitutive model for electrostrictive ceramic materials J Intell Mater Syst Struct 5 795 801 10.1177/1045389X9400500610
-
(1994)
J Intell Mater Syst Struct
, vol.5
, pp. 795-801
-
-
Hom, C.L.1
Shankar, N.2
-
7
-
-
0018705278
-
Electrostrictive behavior of lead magnesium niobate based ceramic dielectrics
-
10.1080/00150198008226059
-
SJ Jang K Uchino S Nomura LE Cross 1980 Electrostrictive behavior of lead magnesium niobate based ceramic dielectrics Ferroelectrics 27 1 31 34 10.1080/00150198008226059
-
(1980)
Ferroelectrics
, vol.27
, Issue.1
, pp. 31-34
-
-
Jang, S.J.1
Uchino, K.2
Nomura, S.3
Cross, L.E.4
-
8
-
-
5244290486
-
Electrostriction
-
68710 10.1088/0034-4885/18/1/306
-
HF Kay 1955 Electrostriction Rep Prog Phys 18 1 230 250 68710 10.1088/0034-4885/18/1/306
-
(1955)
Rep Prog Phys
, vol.18
, Issue.1
, pp. 230-250
-
-
Kay, H.F.1
-
9
-
-
84865226156
-
-
PhD Thesis. Faculty of Engineering, Department Civil Engineering, Institute of Mechanics, University of Duisburg-Essen
-
Keip M-A (2012) Modeling of electro-mechanically coupled materials on multiple scales. PhD Thesis. Faculty of Engineering, Department Civil Engineering, Institute of Mechanics, University of Duisburg-Essen
-
(2012)
Modeling of Electro-mechanically Coupled Materials on Multiple Scales
-
-
Keip, M.-A.1
-
10
-
-
84857554592
-
Effective electromechanical properties of heterogeneous piezoelectrics
-
B. Markert (eds). Springer Berlin, Heidelberg. 10.1007/978-3-642-22738-7- 6
-
Keip M-A, Schröder J (2011) Effective electromechanical properties of heterogeneous piezoelectrics. In: Markert B (ed) Advances in extended and multifield theories for continua of lecture notes in applied and computational mechanics, vol 59. Springer, Berlin, Heidelberg, pp 109-128
-
(2011)
Advances in Extended and Multifield Theories for Continua of Lecture Notes in Applied and Computational Mechanics, Vol 59
, pp. 109-128
-
-
Keip, M.-A.1
Schröder, J.2
-
12
-
-
0037143110
-
Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme
-
1058.74070 10.1002/nme.541
-
V Kouznetsova MGD Geers WAM Brekelmans 2002 Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme Int J Numer Methods Eng 54 8 1235 1260 1058.74070 10.1002/nme.541
-
(2002)
Int J Numer Methods Eng
, vol.54
, Issue.8
, pp. 1235-1260
-
-
Kouznetsova, V.1
Geers, M.G.D.2
Brekelmans, W.A.M.3
-
13
-
-
0037405640
-
Effective electromechanical properties of transversely isotropic piezoelectric ceramics with microvoids
-
10.1016/S0927-0256(03)00044-2
-
Z Li C Wang C Chen 2003 Effective electromechanical properties of transversely isotropic piezoelectric ceramics with microvoids Comput Mater Sci 27 3 381 392 10.1016/S0927-0256(03)00044-2
-
(2003)
Comput Mater Sci
, vol.27
, Issue.3
, pp. 381-392
-
-
Li, Z.1
Wang, C.2
Chen, C.3
-
14
-
-
23844505223
-
Multi-scale modeling of heterogeneous structures with inelastic constitutive behavior
-
1186.74026 10.1108/02644400510603050
-
D Markovic R Niekamp A Ibrahimbegovic HG Matthies RL Taylor 2005 Multi-scale modeling of heterogeneous structures with inelastic constitutive behavior Int J Comput Aid Eng Softw 22 5/6 664 683 1186.74026 10.1108/02644400510603050
-
(2005)
Int J Comput Aid Eng Softw
, vol.22
, Issue.5-6
, pp. 664-683
-
-
Markovic, D.1
Niekamp, R.2
Ibrahimbegovic, A.3
Matthies, H.G.4
Taylor, R.L.5
-
16
-
-
0032686773
-
Effective properties of composite materials with periodic microstructure: A computational approach
-
1685904 0964.74054 10.1016/S0045-7825(98)00227-8
-
JC Michel H Moulinec P Suquet 1999 Effective properties of composite materials with periodic microstructure: a computational approach Comput Methods Appl Mech Eng 172 109 143 1685904 0964.74054 10.1016/S0045-7825(98)00227-8
-
(1999)
Comput Methods Appl Mech Eng
, vol.172
, pp. 109-143
-
-
Michel, J.C.1
Moulinec, H.2
Suquet, P.3
-
17
-
-
0036631366
-
Computational micro-to-macro transitions of discretized microstructures undergoing small strains
-
1032.74010 10.1007/s00419-002-0212-2
-
C Miehe A Koch 2002 Computational micro-to-macro transitions of discretized microstructures undergoing small strains Arch Appl Mech 72 4 300 317 1032.74010 10.1007/s00419-002-0212-2
-
(2002)
Arch Appl Mech
, vol.72
, Issue.4
, pp. 300-317
-
-
Miehe, C.1
Koch, A.2
-
18
-
-
0000516443
-
Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains
-
10.1016/S0927-0256(99)00080-4
-
C Miehe J Schotte J Schröder 1999 Computational micro-macro transitions and overall moduli in the analysis of polycrystals at large strains Comput Mater Sci 16 1-4 372 382 10.1016/S0927-0256(99)00080-4
-
(1999)
Comput Mater Sci
, vol.16
, Issue.14
, pp. 372-382
-
-
Miehe, C.1
Schotte, J.2
Schröder, J.3
-
19
-
-
0033116492
-
Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
-
0982.74068 10.1016/S0045-7825(98)00218-7
-
C Miehe J Schröder J Schotte 1999 Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials Comput Methods Appl Mech Eng 171 387 418 0982.74068 10.1016/S0045-7825(98)00218-7
-
(1999)
Comput Methods Appl Mech Eng
, vol.171
, pp. 387-418
-
-
Miehe, C.1
Schröder, J.2
Schotte, J.3
-
20
-
-
0001298221
-
Theoretical approach to effective electrostriction in inhomogeneous materials
-
10.1103/PhysRevB.61.258
-
C-W Nan GJ Weng 2000 Theoretical approach to effective electrostriction in inhomogeneous materials Phys Rev B 61 1 258 265 10.1103/PhysRevB.61.258
-
(2000)
Phys Rev B
, vol.61
, Issue.1
, pp. 258-265
-
-
Nan, C.-W.1
Weng, G.J.2
-
21
-
-
0002353491
-
Effective properties of composites with embedded piezoelectric fibres
-
10.1016/S0927-0256(99)00050-6
-
C Poizat M Sester 1999 Effective properties of composites with embedded piezoelectric fibres Comput Mater Sci 16 1-4 89 97 10.1016/S0927-0256(99)00050-6
-
(1999)
Comput Mater Sci
, vol.16
, Issue.14
, pp. 89-97
-
-
Poizat, C.1
Sester, M.2
-
23
-
-
69249231107
-
Derivation of the localization and homogenization conditions for electro-mechanically coupled problems
-
10.1016/j.commatsci.2009.03.035
-
J Schröder 2009 Derivation of the localization and homogenization conditions for electro-mechanically coupled problems Comput Mater Sci 46 3 595 599 10.1016/j.commatsci.2009.03.035
-
(2009)
Comput Mater Sci
, vol.46
, Issue.3
, pp. 595-599
-
-
Schröder, J.1
-
24
-
-
1942537808
-
Invariant formulation of the electromechanical enthalpy function of transversely isotropic piezoelectric materials
-
1145.74348 10.1007/s00419-003-0294-5
-
J Schröder D Gross 2004 Invariant formulation of the electromechanical enthalpy function of transversely isotropic piezoelectric materials Arch Appl Mech 73 8 533 552 1145.74348 10.1007/s00419-003-0294-5
-
(2004)
Arch Appl Mech
, vol.73
, Issue.8
, pp. 533-552
-
-
Schröder, J.1
Gross, D.2
-
25
-
-
84870506218
-
A framework for the two-scale homogenization of electro-mechanically coupled boundary value problems
-
M. Kuczma K. Wilmanski (eds). Springer Berlin, Heidelberg
-
Schröder J, Keip M-A (2010) A framework for the two-scale homogenization of electro-mechanically coupled boundary value problems. In: Kuczma M, Wilmanski K (eds) Computer methods in mechanics of advanced structured materials, vol 1. Springer, Berlin, Heidelberg, pp 311-329
-
(2010)
Computer Methods in Mechanics of Advanced Structured Materials, Vol 1
, pp. 311-329
-
-
Schröder, J.1
Keip, M.-A.2
-
26
-
-
84857608898
-
Multiscale modeling of electro-mechanically coupled materials: Homogenization procedure and computation of overall moduli
-
M. Kuna A. Ricoeur (eds). Springer The Netherlands. 10.1007/978-90-481- 9887-0-25
-
Schröder J, Keip M-A (2011) Multiscale modeling of electro-mechanically coupled materials: homogenization procedure and computation of overall moduli. In: Kuna M, Ricoeur A (eds) IUTAM Symposium on multiscale modelling of fatigue, damage and fracture in smart materials of IUTAM bookseries, vol 24. Springer, The Netherlands, pp 265-276
-
(2011)
IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials of IUTAM Bookseries, Vol 24
, pp. 265-276
-
-
Schröder, J.1
Keip, M.-A.2
-
27
-
-
0032026085
-
Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling
-
0967.74069 10.1016/S0045-7825(97)00139-4
-
RJM Smit WAM Brekelmans HEH Meijer 1998 Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling Comput Methods Appl Mech Eng 155 181 192 0967.74069 10.1016/S0045-7825(97)00139-4
-
(1998)
Comput Methods Appl Mech Eng
, vol.155
, pp. 181-192
-
-
Smit, R.J.M.1
Brekelmans, W.A.M.2
Meijer, H.E.H.3
-
28
-
-
58349107480
-
A sub-stepping scheme for multi-scale analysis of solids
-
1229.74119 10.1016/j.cma.2008.11.013
-
DD Somer EA de Souza Neto WG Dettmer D Peric 2009 A sub-stepping scheme for multi-scale analysis of solids Comput Methods Appl Mech Eng 198 9-12 1006 1016 1229.74119 10.1016/j.cma.2008.11.013
-
(2009)
Comput Methods Appl Mech Eng
, vol.198
, Issue.912
, pp. 1006-1016
-
-
Somer, D.D.1
De Souza Neto, E.A.2
Dettmer, W.G.3
Peric, D.4
-
29
-
-
84963203745
-
Electrostriction and polarization
-
10.1080/00150199208230043
-
V Sundar RE Newnham 1992 Electrostriction and polarization Ferroelectrics 135 431 446 10.1080/00150199208230043
-
(1992)
Ferroelectrics
, vol.135
, pp. 431-446
-
-
Sundar, V.1
Newnham, R.E.2
-
31
-
-
0035919604
-
A class of general algorithms for multi-scale analyses of heterogeneous media
-
1843662 1001.74095 10.1016/S0045-7825(01)00179-7
-
K Terada N Kikuchi 2001 A class of general algorithms for multi-scale analyses of heterogeneous media Comput Methods Appl Mech Eng 190 40-41 5427 5464 1843662 1001.74095 10.1016/S0045-7825(01)00179-7
-
(2001)
Comput Methods Appl Mech Eng
, vol.190
, Issue.4041
, pp. 5427-5464
-
-
Terada, K.1
Kikuchi, N.2
-
32
-
-
0042125263
-
Two-scale kinematics and linearization for simultaneous two-scale analysis of periodic heterogeneous solids at finite strain
-
1992796 1054.74038 10.1016/S0045-7825(03)00365-7
-
K Terada I Saiki K Matsui Y Yamakawa 2003 Two-scale kinematics and linearization for simultaneous two-scale analysis of periodic heterogeneous solids at finite strain Comput Methods Appl Mech Eng 192 31-32 3531 3563 1992796 1054.74038 10.1016/S0045-7825(03)00365-7
-
(2003)
Comput Methods Appl Mech Eng
, vol.192
, Issue.3132
, pp. 3531-3563
-
-
Terada, K.1
Saiki, I.2
Matsui, K.3
Yamakawa, Y.4
-
34
-
-
67949089622
-
The inclusion and inhomogeneity problems of electrostrictive materials with microstructure
-
10.1016/j.mechmat.2009.04.007
-
N Yu T Somphone 2009 The inclusion and inhomogeneity problems of electrostrictive materials with microstructure Mech Mater 41 975 981 10.1016/j.mechmat.2009.04.007
-
(2009)
Mech Mater
, vol.41
, pp. 975-981
-
-
Yu, N.1
Somphone, T.2
-
35
-
-
0000553667
-
3 crystals
-
10.1103/PhysRevB.50.5941
-
3 crystals Phys Rev B 50 9 5941 5949 10.1103/PhysRevB.50.5941
-
(1994)
Phys Rev B
, vol.50
, Issue.9
, pp. 5941-5949
-
-
Zgonik, M.1
Bernasconi, P.2
Duelli, M.3
Schlesser, R.4
Günter, P.5
Garrett, M.H.6
Rytz, D.7
Zhu, Y.8
Wu, X.9
|