×
Author ID: bustamante.roger Recent zbMATH articles by "Bustamante, Roger"
Published as: Bustamante, R.; Bustamante, Roger
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 544 times in 223 Documents Cited by Year
Nonlinear electroelastostatics: a variational framework. Zbl 1161.74022
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
45
2009
On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. Zbl 1213.74123
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
38
2009
On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
34
2008
A note on plane strain and plane stress problems for a new class of elastic bodies. Zbl 1257.74022
Bustamante, R.; Rajagopal, K. R.
32
2010
Some topics on a new class of elastic bodies. Zbl 1186.74016
Bustamante, Roger
31
2009
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.
26
2012
On a new class of electroelastic bodies. I. Zbl 1371.74095
Bustamante, R.; Rajagopal, K. R.
22
2013
Transversely isotropic nonlinear magneto-active elastomers. Zbl 1397.74063
Bustamante, Roger
19
2010
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.
17
2015
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.
16
2007
Transversely isotropic nonlinear electro-active elastomers. Zbl 1169.74018
Bustamante, R.
16
2009
Implicit constitutive relations for nonlinear magnetoelastic bodies. Zbl 1371.74040
Bustamante, R.; Rajagopal, K. R.
16
2015
Universal relations in isotropic nonlinear magnetoelasticity. Zbl 1111.74013
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
15
2006
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.
15
2015
On a new class of electro-elastic bodies. II: Boundary value problems. Zbl 1371.74096
Bustamante, R.; Rajagopal, K. R.
13
2013
On the spectral analysis of residual stress in finite elasticity. Zbl 1408.74008
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
13
2017
A note on some new classes of constitutive relations for elastic bodies. Zbl 1327.35362
Bustamante, R.; Rajagopal, K. R.
12
2015
A review of implicit constitutive theories to describe the response of elastic bodies. Zbl 1445.74004
Bustamante, Roger; Rajagopal, Kumbakonam
12
2020
Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. Zbl 1236.74078
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
10
2011
On the independence of strain invariants of two preferred direction nonlinear elasticity. Zbl 1423.74139
Shariff, M. H. B. M.; Bustamante, R.
10
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.
9
2015
Mathematical formulations for elastic magneto-electrically coupled soft materials at finite strains: time-independent processes. Zbl 07314427
Bustamante, R.; Shariff, M. H. B. M.; Hossain, M.
9
2021
Universal relations for nonlinear electroelastic solids. Zbl 1111.74014
Bustamante, R.; Ogden, R. W.
8
2006
A novel spectral formulation for transversely isotropic magneto-elasticity. Zbl 1371.74101
Shariff, M. H. B. M.; Bustamante, Roger; Hossain, Mokarram; Steinmann, Paul
8
2017
A nonlinear model for describing the mechanical behaviour of rock. Zbl 1381.74148
Bustamante, R.; Rajagopal, K. R.
7
2018
On simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers. Zbl 1310.74007
Bustamante, R.; Merodio, J.
6
2010
A variational formulation for a boundary value problem considering an electro-sensitive elastomer interacting with two bodies. Zbl 1273.74094
Bustamante, R.
6
2009
On the inhomogeneous shearing of a new class of elastic bodies. Zbl 07278888
Bustamante, R.; Rajagopal, K. R.
6
2012
A principal axis formulation for nonlinear magnetoelastic deformations: isotropic bodies. Zbl 1406.74098
Bustamante, R.; Shariff, M. H. B. M.
6
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
Mathematical modelling of boundary conditions for magneto-sensitive elastomers: Variational formulations. Zbl 1168.74346
Bustamante, R.
5
2009
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
Study of a new class of nonlinear inextensible elastic bodies. Zbl 1383.74007
Bustamante, R.; Rajagopal, K. R.
5
2015
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.
5
2016
A note on incremental equations for a new class of constitutive relations for elastic bodies. Zbl 1467.74008
Arrue, P.; Bustamante, R.; Sfyris, D.
5
2016
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.
5
2018
A nonlinear spectral rate-dependent constitutive equation for electro-viscoelastic solids. Zbl 1446.74123
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
4
2020
Nonlinear electro-elastic bodies with residual stresses: spectral formulation. Zbl 1451.74086
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
4
2018
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
Solutions of some boundary value problems for a class of constitutive relations for non-linear elastic bodies that is not Green elastic. Zbl 1447.74008
Bustamante, R.
3
2016
On nonlinear universal relations in nonlinear elasticity. Zbl 1094.74011
Bustamante, R.; Ogden, R. W.
2
2006
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 nonlinear electro-elastic model with residual stresses and a preferred direction. Zbl 1446.74124
Shariff, M. H. B. M.; Bustamante, Roger; Merodio, Jose
2
2020
New classes of electro-elastic and thermo-electro-elastic bodies that are not Green elastic. Zbl 07205508
Bustamante, Roger
2
2020
Nonlinear magnetoelastostatics: energy functionals and their second variations. Zbl 07280073
Bustamante, Roger; Ogden, Ray W.
1
2013
Applications of implicit constitutive theory for describing the elastic response of rocks and concrete. Zbl 1522.74077
Bustamante, R.; Rajagopal, K. R.
1
2022
A spectral approach for nonlinear transversely isotropic elastic bodies, for a new class of constitutive equation: applications to rock mechanics. Zbl 1457.74188
Shariff, M. H. B. M.; Bustamante, R.
1
2020
A three-dimensional implicit constitutive relation for a body exhibiting stress softening. I: Theoretical underpinnings. Zbl 1494.74003
Bustamante, R.; Rajagopal, K. R.
1
2022
Nonlinear elastic constitutive relations of residually stressed composites with stiff curved fibres. Zbl 1525.74023
Shariff, M. H. B. M.; Merodio, J.; Bustamante, R.
1
2022
Some universal solutions for a class of incompressible elastic body that is not Green elastic: the case of large elastic deformations. Zbl 1473.74011
Bustamante, R.
1
2020
Applications of implicit constitutive theory for describing the elastic response of rocks and concrete. Zbl 1522.74077
Bustamante, R.; Rajagopal, K. R.
1
2022
A three-dimensional implicit constitutive relation for a body exhibiting stress softening. I: Theoretical underpinnings. Zbl 1494.74003
Bustamante, R.; Rajagopal, K. R.
1
2022
Nonlinear elastic constitutive relations of residually stressed composites with stiff curved fibres. Zbl 1525.74023
Shariff, M. H. B. M.; Merodio, J.; Bustamante, R.
1
2022
Mathematical formulations for elastic magneto-electrically coupled soft materials at finite strains: time-independent processes. Zbl 07314427
Bustamante, R.; Shariff, M. H. B. M.; Hossain, M.
9
2021
A review of implicit constitutive theories to describe the response of elastic bodies. Zbl 1445.74004
Bustamante, Roger; Rajagopal, Kumbakonam
12
2020
A nonlinear spectral rate-dependent constitutive equation for electro-viscoelastic solids. Zbl 1446.74123
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
4
2020
A nonlinear electro-elastic model with residual stresses and a preferred direction. Zbl 1446.74124
Shariff, M. H. B. M.; Bustamante, Roger; Merodio, Jose
2
2020
New classes of electro-elastic and thermo-electro-elastic bodies that are not Green elastic. Zbl 07205508
Bustamante, Roger
2
2020
A spectral approach for nonlinear transversely isotropic elastic bodies, for a new class of constitutive equation: applications to rock mechanics. Zbl 1457.74188
Shariff, M. H. B. M.; Bustamante, R.
1
2020
Some universal solutions for a class of incompressible elastic body that is not Green elastic: the case of large elastic deformations. Zbl 1473.74011
Bustamante, R.
1
2020
A nonlinear model for describing the mechanical behaviour of rock. Zbl 1381.74148
Bustamante, R.; Rajagopal, K. R.
7
2018
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.
5
2018
Nonlinear electro-elastic bodies with residual stresses: spectral formulation. Zbl 1451.74086
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
4
2018
On the spectral analysis of residual stress in finite elasticity. Zbl 1408.74008
Shariff, M. H. B. M.; Bustamante, R.; Merodio, J.
13
2017
A novel spectral formulation for transversely isotropic magneto-elasticity. Zbl 1371.74101
Shariff, M. H. B. M.; Bustamante, Roger; Hossain, Mokarram; Steinmann, Paul
8
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 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.
5
2016
A note on incremental equations for a new class of constitutive relations for elastic bodies. Zbl 1467.74008
Arrue, P.; Bustamante, R.; Sfyris, D.
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
Solutions of some boundary value problems for a class of constitutive relations for non-linear elastic bodies that is not Green elastic. Zbl 1447.74008
Bustamante, R.
3
2016
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.
17
2015
Implicit constitutive relations for nonlinear magnetoelastic bodies. Zbl 1371.74040
Bustamante, R.; Rajagopal, K. R.
16
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.
15
2015
A note on some new classes of constitutive relations for elastic bodies. Zbl 1327.35362
Bustamante, R.; Rajagopal, K. R.
12
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
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.
9
2015
A principal axis formulation for nonlinear magnetoelastic deformations: isotropic bodies. Zbl 1406.74098
Bustamante, R.; Shariff, M. H. B. M.
6
2015
Study of a new class of nonlinear inextensible elastic bodies. Zbl 1383.74007
Bustamante, R.; Rajagopal, K. R.
5
2015
On a new class of electroelastic bodies. I. Zbl 1371.74095
Bustamante, R.; Rajagopal, K. R.
22
2013
On a new class of electro-elastic bodies. II: Boundary value problems. Zbl 1371.74096
Bustamante, R.; Rajagopal, K. R.
13
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
Nonlinear magnetoelastostatics: energy functionals and their second variations. Zbl 07280073
Bustamante, Roger; Ogden, Ray W.
1
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.
26
2012
On the inhomogeneous shearing of a new class of elastic bodies. Zbl 07278888
Bustamante, R.; Rajagopal, K. R.
6
2012
Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity. Zbl 1236.74078
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
10
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.
32
2010
Transversely isotropic nonlinear magneto-active elastomers. Zbl 1397.74063
Bustamante, Roger
19
2010
On simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers. Zbl 1310.74007
Bustamante, R.; Merodio, J.
6
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
Nonlinear electroelastostatics: a variational framework. Zbl 1161.74022
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
45
2009
On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. Zbl 1213.74123
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
38
2009
Some topics on a new class of elastic bodies. Zbl 1186.74016
Bustamante, Roger
31
2009
Transversely isotropic nonlinear electro-active elastomers. Zbl 1169.74018
Bustamante, R.
16
2009
A variational formulation for a boundary value problem considering an electro-sensitive elastomer interacting with two bodies. Zbl 1273.74094
Bustamante, R.
6
2009
Mathematical modelling of boundary conditions for magneto-sensitive elastomers: Variational formulations. Zbl 1168.74346
Bustamante, R.
5
2009
On variational formulations in nonlinear magnetoelastostatics. Zbl 1175.74033
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
34
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.
16
2007
Universal relations in isotropic nonlinear magnetoelasticity. Zbl 1111.74013
Bustamante, R.; Dorfmann, A.; Ogden, R. W.
15
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 263 Authors

42 Bustamante, Roger
27 Rajagopal, Kumbakonam Ramamani
13 Ortigosa, Rogelio
13 Shariff, M. H. B. M.
12 Gil, Antonio J.
11 Ogden, Raymond William
11 Steinmann, Paul
6 Martínez-Frutos, Jesús
6 Merodio, Jose
5 Dorfmann, Luis
5 Miehe, Christian
4 Haldar, Krishnendu
4 Hossain, Mokarram
4 Keip, Marc-André
4 Málek, Josef
4 Mallikarjunaiah, S. M.
4 Ponte Castañeda, Pedro
4 Rambausek, Matthias
4 Saxena, Prashant
4 Şengül, Yasemin
4 Vallicotti, Daniel
4 Walton, Jay R.
3 Arockiarajan, Arunachalakasi
3 Bulíček, Miroslav
3 Chatzigeorgiou, George
3 Gao, Cun-Fa
3 Lagoudas, Dimitris C.
3 Nedjar, Boumediene
3 Pelteret, Jean-Paul
3 Průša, Vít
3 Saravanan, Umakanthan
3 Sfyris, Dimitris
3 Siboni, Morteza Hakimi
3 Süli, Endre E.
3 Vu Duc Khoi
3 Wang, Jiong
3 Wineman, Alan S.
3 Yoon, Hyun Chul
2 Aguiar, Adair Roberto
2 Arvanitakis, Antonios I.
2 Barreto, Darius Diogo
2 Behera, Subrat Kumar
2 Betsch, Peter
2 Chen, Weiting
2 Danas, Kostas
2 deBotton, Gal
2 Franke, Marlon
2 Javili, Ali
2 Joglekar, M. M.
2 Kadapa, Chennakesava
2 Kumar, Ajeet
2 Kumar, Deepak
2 Liu, Liping
2 Lopes da Rocha, Gabriel
2 Mai, Tina
2 Marín, Francisco J.
2 Meneses, Rodrigo
2 Orellana, Oscar F.
2 Ostoja-Starzewski, Martin
2 Palma, Roberto
2 Pérez-Aparicio, José L.
2 Ren, Jiusheng
2 Sansour, Carlo
2 Santapuri, Sushma
2 Sarangi, Somnath
2 Schröder, Jörg
2 Sharma, Atul Kumar
2 Sharma, Basant Lal
2 Skatulla, Sebastian
2 Taylor, Robert Leroy
2 Teichtmeister, Stephan
2 Triantafyllidis, Nicolas
2 Vogel, Franziska
2 Zhao, Yapu
1 Agosti, Abramo
1 Alhasadi, Mawafag F.
1 Ali, Mir Numan
1 Amiri-Hezaveh, Amirhossein
1 Areias, Pedro M. A.
1 Arrue, P.
1 Asmanoglo, Tobias
1 Avazmohammadi, Reza
1 Aydin, Ugur
1 Barakati, A.
1 Bardella, Lorenzo
1 Barham, Matthew I.
1 Barretta, Raffaele
1 Beheshti, Alireza
1 Belahcen, Anouar
1 Bezzeghoud, Mourad
1 Bishara, Dana
1 Bonet, Javier
1 Bresciani, Marco
1 Bridges, Craig
1 Brinkhues, Sarah
1 Bruhns, Otto Timme
1 Büschel, A.
1 Cai, Shengqiang
1 Case, James H.
1 Chatterjee, Anindya
...and 163 more Authors
all top 5

Cited in 41 Serials

35 Mathematics and Mechanics of Solids
31 International Journal of Engineering Science
24 Acta Mechanica
24 Computer Methods in Applied Mechanics and Engineering
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 European Journal of Mechanics. A. Solids
9 Journal of Elasticity
8 Journal of the Mechanics and Physics of Solids
5 Journal of Engineering Mathematics
5 International Journal for Numerical Methods in Engineering
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 International Journal of Solids and Structures
4 Computational Mechanics
3 Wave Motion
3 Applied Mathematical Modelling
3 Archive of Applied Mechanics
3 Communications in Nonlinear Science and Numerical Simulation
2 Continuum Mechanics and Thermodynamics
2 Calculus of Variations and Partial Differential Equations
2 Engineering Analysis with Boundary Elements
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Theoretical Biology
2 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Journal of Computational Physics
1 Applied Mathematics and Computation
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Meccanica
1 Mechanics Research Communications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Journal on Mathematical Analysis
1 Journal of Applied Mechanics and Technical Physics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Archives of Computational Methods in Engineering
1 International Journal of Fracture
1 GAMM-Mitteilungen
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
1 Results in Applied Mathematics

Citations by Year