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Bustamante, Roger

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Author ID: bustamante.roger Recent zbMATH articles by "Bustamante, Roger"
Published as: Bustamante, R.; Bustamante, Roger
External Links: MGP
Documents Indexed: 53 Publications since 2006

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 384 times in 162 Documents Cited by Year
Nonlinear electroelastostatics: a variational framework. Zbl 1161.74022
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
36
2009
On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. Zbl 1213.74123
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
30
2009
A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022
Bustamante, R.; Rajagopal, K. R.
25
2010
On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
25
2008
Some topics on a new class of elastic bodies. Zbl 1186.74016
Bustamante, Roger
23
2009
On a new class of electroelastic bodies. I. Zbl 1371.74095
Bustamante, R.; Rajagopal, K. R.
18
2013
A numerical study of a plate with a hole for a new class of elastic bodies. Zbl 1356.74122
Ortiz, A.; Bustamante, R.; Rajagopal, K. R.
18
2012
Transversely isotropic nonlinear magneto-active elastomers. Zbl 1397.74063
Bustamante, Roger
17
2010
A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution. Zbl 1123.74016
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
14
2007
Implicit constitutive relations for nonlinear magnetoelastic bodies. Zbl 1371.74040
Bustamante, R.; Rajagopal, K. R.
12
2015
Solutions of some boundary value problems for a new class of elastic bodies undergoing small strains. Comparison with the predictions of the classical theory of linearized elasticity: Part I. Problems with cylindrical symmetry. Zbl 1317.74034
Bustamante, R.; Rajagopal, K. R.
12
2015
Transversely isotropic nonlinear electro-active elastomers. Zbl 1169.74018
Bustamante, R.
12
2009
Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies. Zbl 1327.74080
Bustamante, R.; Sfyris, D.
11
2015
On a new class of electro-elastic bodies. II: Boundary value problems. Zbl 1371.74096
Bustamante, R.; Rajagopal, K. R.
11
2013
Universal relations in isotropic nonlinear magnetoelasticity. Zbl 1111.74013
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
11
2006
On the independence of strain invariants of two preferred direction nonlinear elasticity. Zbl 1423.74139
Shariff, M. H. B. M.; Bustamante, R.
10
2015
Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. Zbl 1236.74078
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
8
2011
Universal relations for nonlinear electroelastic solids. Zbl 1111.74014
Bustamante, R.; Ogden, R. W.
8
2006
A note on some new classes of constitutive relations for elastic bodies. Zbl 1327.35362
Bustamante, R.; Rajagopal, K. R.
7
2015
Solutions of some boundary value problems for a new class of elastic bodies. Comparison with predictions of the classical theory of linearized elasticity: Part II. A problem with spherical symmetry. Zbl 1317.74033
Bustamante, R.; Rajagopal, K. R.
7
2015
On the spectral analysis of residual stress in finite elasticity. Zbl 1408.74008
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
6
2017
A novel spectral formulation for transversely isotropic magneto-elasticity. Zbl 1371.74101
Shariff, M. H. B. M.; Bustamante, Roger; Hossain, Mokarram; Steinmann, Paul
5
2017
On the consequences of the constraint of incompressibility with regard to a new class of constitutive relations for elastic bodies: small displacement gradient approximation. Zbl 1348.74018
Bustamante, R.; Rajagopal, K. R.
5
2016
A principal axis formulation for nonlinear magnetoelastic deformations: isotropic bodies. Zbl 1406.74098
Bustamante, R.; Shariff, M. H. B. M.
5
2015
Methods to compute 3D residual stress distributions in hyperelastic tubes with application to arterial walls. Zbl 1231.74309
Bustamante, R.; Holzapfel, G. A.
5
2010
A variational formulation for a boundary value problem considering an electro-sensitive elastomer interacting with two bodies. Zbl 1273.74094
Bustamante, R.
5
2009
New sets of spectral invariants for electro-elastic bodies with one and two families of fibres. Zbl 1406.74210
Bustamante, R.; Shariff, M. H. B. M.
4
2016
On simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers. Zbl 1310.74007
Bustamante, R.; Merodio, J.
4
2010
Mathematical modelling of boundary conditions for magneto-sensitive elastomers: Variational formulations. Zbl 1168.74346
Bustamante, R.
4
2009
A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic. Zbl 1391.74110
Meneses, R.; Orellana, O.; Bustamante, R.
3
2018
A nonlinear model for describing the mechanical behaviour of rock. Zbl 1381.74148
Bustamante, R.; Rajagopal, K. R.
3
2018
Large deformations of a new class of incompressible elastic bodies. Zbl 1431.74021
Bustamante, R.; Orellana, O.; Meneses, R.; Rajagopal, K. R.
3
2016
A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies. Zbl 1360.74140
Montero, S.; Bustamante, R.; Ortiz-Bernardin, A.
3
2016
Study of a new class of nonlinear inextensible elastic bodies. Zbl 1383.74007
Bustamante, R.; Rajagopal, K. R.
3
2015
A review of implicit constitutive theories to describe the response of elastic bodies. Zbl 1445.74004
Bustamante, Roger; Rajagopal, Kumbakonam
2
2020
Nonlinear electro-elastic bodies with residual stresses: spectral formulation. Zbl 1451.74086
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
2
2018
Use of some theorems related with the tensor equation \(AX + XA = H\) for some classes of implicit constitutive relations. Zbl 1291.74016
Sfyris, D.; Bustamante, R.
2
2013
On nonlinear universal relations in nonlinear elasticity. Zbl 1094.74011
Bustamante, R.; Ogden, R. W.
2
2006
A nonlinear spectral rate-dependent constitutive equation for electro-viscoelastic solids. Zbl 1446.74123
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
1
2020
New classes of electro-elastic and thermo-electro-elastic bodies that are not Green elastic. Zbl 07205508
Bustamante, Roger
1
2020
A note on incremental equations for a new class of constitutive relations for elastic bodies. Zbl 07209807
Arrue, P.; Bustamante, R.; Sfyris, D.
1
2016
A review of implicit constitutive theories to describe the response of elastic bodies. Zbl 1445.74004
Bustamante, Roger; Rajagopal, Kumbakonam
2
2020
A nonlinear spectral rate-dependent constitutive equation for electro-viscoelastic solids. Zbl 1446.74123
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
1
2020
New classes of electro-elastic and thermo-electro-elastic bodies that are not Green elastic. Zbl 07205508
Bustamante, Roger
1
2020
A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic. Zbl 1391.74110
Meneses, R.; Orellana, O.; Bustamante, R.
3
2018
A nonlinear model for describing the mechanical behaviour of rock. Zbl 1381.74148
Bustamante, R.; Rajagopal, K. R.
3
2018
Nonlinear electro-elastic bodies with residual stresses: spectral formulation. Zbl 1451.74086
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
2
2018
On the spectral analysis of residual stress in finite elasticity. Zbl 1408.74008
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
6
2017
A novel spectral formulation for transversely isotropic magneto-elasticity. Zbl 1371.74101
Shariff, M. H. B. M.; Bustamante, Roger; Hossain, Mokarram; Steinmann, Paul
5
2017
On the consequences of the constraint of incompressibility with regard to a new class of constitutive relations for elastic bodies: small displacement gradient approximation. Zbl 1348.74018
Bustamante, R.; Rajagopal, K. R.
5
2016
New sets of spectral invariants for electro-elastic bodies with one and two families of fibres. Zbl 1406.74210
Bustamante, R.; Shariff, M. H. B. M.
4
2016
Large deformations of a new class of incompressible elastic bodies. Zbl 1431.74021
Bustamante, R.; Orellana, O.; Meneses, R.; Rajagopal, K. R.
3
2016
A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies. Zbl 1360.74140
Montero, S.; Bustamante, R.; Ortiz-Bernardin, A.
3
2016
A note on incremental equations for a new class of constitutive relations for elastic bodies. Zbl 07209807
Arrue, P.; Bustamante, R.; Sfyris, D.
1
2016
Implicit constitutive relations for nonlinear magnetoelastic bodies. Zbl 1371.74040
Bustamante, R.; Rajagopal, K. R.
12
2015
Solutions of some boundary value problems for a new class of elastic bodies undergoing small strains. Comparison with the predictions of the classical theory of linearized elasticity: Part I. Problems with cylindrical symmetry. Zbl 1317.74034
Bustamante, R.; Rajagopal, K. R.
12
2015
Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies. Zbl 1327.74080
Bustamante, R.; Sfyris, D.
11
2015
On the independence of strain invariants of two preferred direction nonlinear elasticity. Zbl 1423.74139
Shariff, M. H. B. M.; Bustamante, R.
10
2015
A note on some new classes of constitutive relations for elastic bodies. Zbl 1327.35362
Bustamante, R.; Rajagopal, K. R.
7
2015
Solutions of some boundary value problems for a new class of elastic bodies. Comparison with predictions of the classical theory of linearized elasticity: Part II. A problem with spherical symmetry. Zbl 1317.74033
Bustamante, R.; Rajagopal, K. R.
7
2015
A principal axis formulation for nonlinear magnetoelastic deformations: isotropic bodies. Zbl 1406.74098
Bustamante, R.; Shariff, M. H. B. M.
5
2015
Study of a new class of nonlinear inextensible elastic bodies. Zbl 1383.74007
Bustamante, R.; Rajagopal, K. R.
3
2015
On a new class of electroelastic bodies. I. Zbl 1371.74095
Bustamante, R.; Rajagopal, K. R.
18
2013
On a new class of electro-elastic bodies. II: Boundary value problems. Zbl 1371.74096
Bustamante, R.; Rajagopal, K. R.
11
2013
Use of some theorems related with the tensor equation \(AX + XA = H\) for some classes of implicit constitutive relations. Zbl 1291.74016
Sfyris, D.; Bustamante, R.
2
2013
A numerical study of a plate with a hole for a new class of elastic bodies. Zbl 1356.74122
Ortiz, A.; Bustamante, R.; Rajagopal, K. R.
18
2012
Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. Zbl 1236.74078
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
8
2011
A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022
Bustamante, R.; Rajagopal, K. R.
25
2010
Transversely isotropic nonlinear magneto-active elastomers. Zbl 1397.74063
Bustamante, Roger
17
2010
Methods to compute 3D residual stress distributions in hyperelastic tubes with application to arterial walls. Zbl 1231.74309
Bustamante, R.; Holzapfel, G. A.
5
2010
On simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers. Zbl 1310.74007
Bustamante, R.; Merodio, J.
4
2010
Nonlinear electroelastostatics: a variational framework. Zbl 1161.74022
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
36
2009
On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. Zbl 1213.74123
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
30
2009
Some topics on a new class of elastic bodies. Zbl 1186.74016
Bustamante, Roger
23
2009
Transversely isotropic nonlinear electro-active elastomers. Zbl 1169.74018
Bustamante, R.
12
2009
A variational formulation for a boundary value problem considering an electro-sensitive elastomer interacting with two bodies. Zbl 1273.74094
Bustamante, R.
5
2009
Mathematical modelling of boundary conditions for magneto-sensitive elastomers: Variational formulations. Zbl 1168.74346
Bustamante, R.
4
2009
On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
25
2008
A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution. Zbl 1123.74016
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
14
2007
Universal relations in isotropic nonlinear magnetoelasticity. Zbl 1111.74013
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
11
2006
Universal relations for nonlinear electroelastic solids. Zbl 1111.74014
Bustamante, R.; Ogden, R. W.
8
2006
On nonlinear universal relations in nonlinear elasticity. Zbl 1094.74011
Bustamante, R.; Ogden, R. W.
2
2006
all top 5

Cited by 203 Authors

33 Bustamante, Roger
21 Rajagopal, Kumbakonam Ramamani
11 Ogden, Raymond William
11 Steinmann, Paul
10 Shariff, M. H. B. M.
6 Gil, Antonio J.
6 Ortigosa, Rogelio
5 Dorfmann, A. Luis
5 Dorfmann, Luis
4 Keip, Marc-André
4 Málek, Josef
4 Merodio, Jose
4 Miehe, Christian
4 Ponte Castañeda, Pedro
4 Walton, Jay R.
3 Chatzigeorgiou, George
3 Gao, Cun-Fa
3 Haldar, Krishnendu
3 Hossain, Mokarram
3 Lagoudas, Dimitris C.
3 Pelteret, Jean-Paul
3 Saravanan, U.
3 Saxena, Prashant
3 Sfyris, Dimitris
3 Siboni, Morteza Hakimi
3 Vallicotti, Daniel
3 Vu Duc Khoi
2 Arockiarajan, Arunachalakasi
2 Arvanitakis, Antonios I.
2 Barreto, Darius Diogo
2 Bulíček, Miroslav
2 deBotton, Gal
2 Javili, Ali
2 Joglekar, M. M.
2 Kumar, Ajeet
2 Liu, Liping
2 Mai, Tina
2 Mehnert, Marküs
2 Meneses, Rodrigo
2 Nedjar, Boumediene
2 Orellana, Oscar F.
2 Ostoja-Starzewski, Martin
2 Průša, Vít
2 Rambausek, Matthias
2 Ren, Jiusheng
2 Sansour, Carlo
2 Schröder, Jörg
2 Şengül, Yasemin
2 Sharma, Atul Kumar
2 Skatulla, Sebastian
2 Süli, Endre E.
2 Vogel, Franziska
2 Wineman, Alan S.
1 Agosti, Abramo
1 Aguiar, Adair Roberto
1 Amiri-Hezaveh, Amirhossein
1 Areias, Pedro M. A.
1 Arrue, P.
1 Avazmohammadi, Reza
1 Aydin, Ugur
1 Barakati, A.
1 Barham, Matthew I.
1 Barretta, Raffaele
1 Beheshti, Alireza
1 Belahcen, Anouar
1 Betsch, Peter
1 Bezzeghoud, Mourad
1 Bishara, Dana
1 Bonet, Javier
1 Bridges, Craig
1 Brinkhues, Sarah
1 Büschel, A.
1 Cai, Shengqiang
1 Case, James H.
1 Chatterjee, Anindya
1 Chen, Weiqiu
1 Chen, Xiaohong
1 Cheviakov, Alexei F.
1 Ciarletta, Pasquale
1 Cichra, David
1 Cohen, Noy
1 Dai, Ming
1 Daniel, Laurent
1 Destrade, Michel
1 Diaco, Marina
1 Distefano, Salvatore
1 Drozdov, Aleksey D.
1 Du, Jianke
1 El Sayed, Tamer
1 Erbay, Husnuata A.
1 Erkip, Albert Kohen
1 Ethiraj, Gautam
1 Franke, Marlon
1 Galipeau, E.
1 Gao, Xing-Lu
1 Göktepe, Serdar
1 Gokulnath, C.
1 Grillo, Alfio
1 Gwiazda, Piotr
1 Harley, Charis
...and 103 more Authors
all top 5

Cited in 33 Serials

29 Mathematics and Mechanics of Solids
21 Acta Mechanica
18 International Journal of Engineering Science
15 Computer Methods in Applied Mechanics and Engineering
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 European Journal of Mechanics. A. Solids
7 Journal of Elasticity
5 Journal of the Mechanics and Physics of Solids
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 International Journal of Solids and Structures
3 Journal of Engineering Mathematics
3 International Journal for Numerical Methods in Engineering
3 Computational Mechanics
3 Archive of Applied Mechanics
2 Applied Mathematical Modelling
2 Engineering Analysis with Boundary Elements
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Theoretical Biology
1 Journal of Computational Physics
1 Wave Motion
1 Applied Mathematics and Computation
1 Journal of Differential Equations
1 Meccanica
1 Mechanics Research Communications
1 Continuum Mechanics and Thermodynamics
1 Calculus of Variations and Partial Differential Equations
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Communications in Nonlinear Science and Numerical Simulation
1 Archives of Computational Methods in Engineering
1 International Journal of Fracture
1 Evolution Equations and Control Theory
1 EMS Surveys in Mathematical Sciences
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year