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Roger Abdon Bustamante Plaza

Profesor Titular

UNIVERSIDAD DE CHILE

Santiago, Chile

Nonlinear Elasticity; Continuum Mechanics; Electro and Magneto Elasticity; Rock Mechanics

Matematicas, UNIVERSITY OF GLASGOW. Reino Unido, 2007
Ingenieria Mecanica, UNIVERSIDAD TECNICA FEDERICO SANTA MARIA. Chile, 2000
Ingenierio Civil Mecanico, UNIVERSIDAD TECNICA FEDERICO SANTA MARIA. Chile, 2000

Profesor Titular Full Time

UNIVERSIDAD DE CHILE

Ciencias Fisicas y matematicas

Santiago, Chile

2016 - At present
Profesor Asociado Full Time

UNIVERSIDAD DE CHILE

Ciencias Fisicas y matematicas

Santiago, Chile

2012 - 2016
Profesor Asistente Full Time

UNIVERSIDAD DE CHILE

Ciencias Fisicas y matematicas

Santiago, Chile

2007 - 2012
Instructor Part Time

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Ingenieria

Valparaiso, Chile

2001 - 2003

Profesor Titular Full Time

Universidad de Chile

Santiago, Chile

2007 - At present


A nonlinear constitutive model for a two preferred direction electro-elastic body with residual stresses Shariff M.H.B.M.; Bustamante R.; Merodio J. Article ISI SCOPUS (2020)
A nonlinear electro-elastic model with residual stresses and a preferred direction Shariff M.H.B.M.; Bustamante R.; Merodio J. Article ISI SCOPUS MATHEMATICS AND MECHANICS OF SOLIDS (2020)
New classes of electro-elastic and thermo-electro-elastic bodies that are not Green elastic Bustamante, Roger Article WOS, ISI Scopus INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2020)
Some universal solutions for incompressible elastic bodies that are not Green elastic Bustamante R. Article ISI SCOPUS (2020)
A nonlinear model for describing the mechanical behaviour of rock Bustamante, R; Rajagopal, KR Article ISI ACTA MECHANICA (2018)
A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic Meneses, R; Orellana, O; Bustamante, R Article ISI SCOPUS MATHEMATICS AND MECHANICS OF SOLIDS (2018)
Modelling residual stresses in elastic bodies described by implicit constitutive relations Bustamante, R; Rajagopal, KR Article ISI SCOPUS INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2018)
NONLINEAR ELECTRO-ELASTIC BODIES WITH RESIDUAL STRESSES: SPECTRAL FORMULATION Shariff, MHBM; Bustamante, R; Merodio J. Article ISI QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS (2018)
ON THE BEHAVIOUR OF SPHERICAL INCLUSIONS IN A CYLINDER UNDER TENSION LOADS Montero, S; Bustamante, R; Ortiz-Bernardin, A Article INGENIUS-REVISTA DE CIENCIA Y TECNOLOGIA (2018)
A nonlinear model for describing the mechanical behaviour of rock Bustamante R., Rajagopal K.R. Article Acta Mechanica (2017)
A novel spectral formulation for transversely isotropic magneto-elasticity Shariff M.H.B.M.; Bustamante R.; Hossain M.; Steinmann P. Article ISI SCOPUS MATHEMATICS AND MECHANICS OF SOLIDS (2017)
Corrigendum: Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies Bustamante R. Article SCOPUS Mathematics and Mechanics of Solids (2017)
Corrigendum: On a new class of electroelastic bodies. I Bustamante, Roger; Rajagopal, K.R. Article ISI Proceedings of the Royal Society of London (2017)
Implicit equations for thermoelastic bodies Bustamante, Roger; Rajagopal, K.R. Article ISI SCOPUS INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2017)
On a new class of electroelastic bodies. I (vol 469, 20120521, 2012) Bustamante, R.; Rajagopal, K. R. Article ISI PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2017)
On the spectral analysis of residual stress in finite elasticity Shariff, M.H.B.M.; Bustamante, Roger; Merodio, Jose Article ISI SCOPUS IMA JOURNAL OF APPLIED MATHEMATICS (2017)
Rate type constitutive equations for fiber reinforced nonlinearly vicoelastic solids using spectral invariants Shariff M.H.B.M.; Bustamante R.; Merodio J. Article ISI SCOPUS MECHANICS RESEARCH COMMUNICATIONS (2017)
A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies Montero, S; Bustamante, R; Ortiz-Bernardin, A Article ISI SCOPUS ACTA MECHANICA (2016)
A note on incremental equations for a new class of constitutive relations for elastic bodies Arrue P.; Bustamante, R; Sfyris D. Article ISI SCOPUS WAVE MOTION (2016)
AN ANISOTROPIC MODEL FOR THE MULLINS EFFECT IN MAGNETOACTIVE RUBBER-LIKE MATERIALS Shariff, MHBM; Bustamante, R Article ISI SCOPUS Journal of Mechanics of Materials and Structures (2016)
Large deformations of a new class of incompressible elastic bodies Bustamante, R; Orellana O.; Meneses, R; Rajagopal, K. R. Article ISI SCOPUS ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2016)
New sets of spectral invariants for electro-elastic bodies with one and two families of fibres Bustamante, R; Shariff M.H.B.M. Article ISI SCOPUS EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2016)
Nonlinear electro-magneto-mechanical constitutive modelling of monolayer graphene Sfyris D.; Sfyris G.I.; Bustamante, R Article ISI SCOPUS PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2016)
On the consequences of the constraint of incompressibility with regard to a new class of constitutive relations for elastic bodies: small displacement gradient approximation Bustamante, R; Rajagopal, KR Article ISI SCOPUS CONTINUUM MECHANICS AND THERMODYNAMICS (2016)
Solutions of some boundary value problems for a class of constitutive relations for non-linear elastic bodies that is not Green elastic Bustamante, R Article ISI SCOPUS QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS (2016)
A principal axis formulation for nonlinear magnetoelastic deformations: Isotropic bodies Bustamante, R; Shariff, MHBM Article ISI SCOPUS European Journal of Mechanics, A/Solids (2015)
Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies Bustamante, R; Sfyris D. Article ISI SCOPUS Mathematics and Mechanics of Solids (2015)
Foreword to the special issue for the 14th Pan-American Congress of Applied Mechanics Bustamante, R; Frederick R.; Dorfmann L. Article SCOPUS Acta Mechanica (2015)
Implicit constitutive relations for nonlinear magnetoelastic bodies Bustamante, R; Rajagopal, K. R. Article ISI SCOPUS PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2015)
Numerical solution of some boundary value problems in nonlinear magneto-elasticity Salas,E.; Bustamante, R Article ISI SCOPUS Journal of Intelligent Material Systems and Structures (2015)
On the independence of strain invariants of two preferred direction nonlinear elasticity Shariff, MHBM; Bustamante, R Article ISI SCOPUS International Journal of Engineering Science (2015)
On the treatment of non-solvable implicit constitutive relations in solid mechanics Sfyris D.; Bustamante, R Article ISI SCOPUS Zeitschrift fur Angewandte Mathematik und Physik (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 Bustamante, R; Rajagopal, KR Article ISI SCOPUS Acta Mechanica (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 Bustamante, R; Rajagopal, KR Article ISI SCOPUS Acta Mechanica (2015)
Study of a new class of nonlinear inextensible elastic bodies Bustamante, R; Rajagopal, KR Article ISI SCOPUS Zeitschrift fur Angewandte Mathematik und Physik (2015)
A note on some new classes of constitutive relations for elastic bodies Bustamante, R; Rajagopal, K. R. Article ISI SCOPUS IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) (2014)
A numerical study of elastic bodies that are described by constitutive equations that exhibit limited strains Ortiz-Bernardin, A; Bustamante, R; Rajagopal, KR Article ISI INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2014)
Axisymmetric bifurcations of thick spherical shells under inflation and compression deBotton, G; Bustamante, R; Dorfmann, A. Article ISI SCOPUS International Journal of Solids and Structures (2013)
Nonlinear magnetoelastostatics: Energy functionals and their second variations Bustamante, R; Ogden, RW Article ISI SCOPUS Mathematics and Mechanics of Solids (2013)
On a new class of electro-elastic bodies. II. Boundary value problems Bustamante, R; Rajagopal, KR Article ISI SCOPUS Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (2013)
On a new class of electroelastic bodies. I Bustamante, R; Rajagopal, KR Article ISI SCOPUS Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (2013)
On some mixed variational principles in magneto-elastostatics Vogel, F; Bustamante, R; Steinmann, P Article ISI SCOPUS International Journal of Non-Linear Mechanics (2013)
Use of some theorems related with the tensor equation AX+XA=H for some classes of implicit constitutive relations Sfyris D.; Bustamante, R Article ISI SCOPUS Quarterly Journal of Mechanics and Applied Mathematics (2013)
A numerical study of a plate with a hole for a new class of elastic bodies Ortiz A.; Bustamante, R; Rajagopal, K. R. Article ISI SCOPUS Acta Mechanica (2012)
On some mixed variational principles in electro-elastostatics Vogel, F; Bustamante, R; Steinmann, P Article ISI SCOPUS International Journal of Non-Linear Mechanics (2012)
On the inhomogeneous shearing of a new class of elastic bodies Bustamante, R; Rajagopal, K. R. Article ISI SCOPUS Mathematics and Mechanics of Solids (2012)
On weak formulations and their second variation in nonlinear electroelasticity Bustamante, R; Merodio J. Article ISI SCOPUS Mechanics Research Communications (2012)
Constitutive structure in coupled non-linear electro-elasticity: Invariant descriptions and constitutive restrictions Bustamante, R; Merodio J. Article ISI SCOPUS International Journal of Non-Linear Mechanics (2011)
Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity Bustamante, R; Dorfmann, A.; Ogden, RW Article ISI SCOPUS International Journal of Solids and Structures (2011)
Solutions of some simple boundary value problems within the context of a new class of elastic materials Bustamante, R; Rajagopal, KR Article ISI SCOPUS International Journal of Non-Linear Mechanics (2011)
A Note on Plane Strain and Plane Stress Problems for a New Class of Elastic Bodies Bustamante, R; Rajagopal, KR Article ISI SCOPUS Mathematics and Mechanics of Solids (2010)
Methods to compute 3D residual stress distributions in hyperelastic tubes with application to arterial walls Bustamante, R; Holzapfel, GA Article ISI SCOPUS International Journal of Engineering Science (2010)
On simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers Bustamante, R; Merodio J. Article ISI SCOPUS Journal of Engineering Mathematics (2010)
Transversely isotropic nonlinear magneto-active elastomers Bustamante, R Article ISI SCOPUS Acta Mechanica (2010)
A variational formulation for a boundary value problem considering an electro-sensitive elastomer interacting with two bodies Bustamante, R Article ISI SCOPUS MECHANICS RESEARCH COMMUNICATIONS (2009)
Mathematical modelling of boundary conditions for magneto-sensitive elastomers: variational formulations Bustamante, R Article ISI SCOPUS JOURNAL OF ENGINEERING MATHEMATICS (2009)
Nonlinear electroelastostatics: A variational framework Bustamante, R; Ogden, R. W.; Dorfmann, A. Article SCOPUS ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2009)
On electric body forces and Maxwell stresses in nonlinearly electroelastic solids Bustamante, R; Dorfmann, A.; Ogden, RW Article ISI SCOPUS INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2009)
Some topics on a new class of elastic bodies Bustamante, R Article ISI SCOPUS PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2009)
Transversely isotropic non-linear electro-active elastomers Bustamante, R Article ISI SCOPUS ACTA MECHANICA (2009)
On Variational Formulations in Nonlinear Magnetoelastostatics Bustamante, R.; Dorfmann, A.; Ogden, R. W. Article ISI MATHEMATICS AND MECHANICS OF SOLIDS (2008)
A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution Bustamante, R.; Dorfmann, A.; Ogden, R. W. Article ISI JOURNAL OF ENGINEERING MATHEMATICS (2007)
On nonlinear universal relations in nonlinear elasticity Bustamante, R.; Ogden, R. W. Article ISI ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2006)
Universal relations for nonlinear electroelastic solids Bustamante, R; Ogden, RW Article ISI ACTA MECHANICA (2006)
Universal relations in isotropic nonlinear magnetoelasticity Bustamante, R.; Dorfmann, A.; Ogden, R. W. Article ISI QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS (2006)


A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies Bustamante, Roger; Rajagopal, K. R.; Merodio, Jose; Ogden, R. W. BookSection (2019)


Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies (vol 74, pg 258, 2019) Bustamante, R Errata ISI MATHEMATICS AND MECHANICS OF SOLIDS (2020)


ON THE USE OF IMPLICIT CONSTITUTIVE RELATIONS TO MODEL THE BEHAVIOUR OF ELASTIC AND INELASTIC DEFORMATIONS IN CONTINUA=> APPLICATIONS TO THE MATHEMATICAL MODELLING OF ROCK FONDECYT (1160030) Proyecto 2016-2020 Inv. Responsable
STUDY OF SOME NEW CONSTITUTIVE LAWS FOR ELASTIC BODIES FONDECYT (1120011) Proyecto 2012-2016 Inv. Responsable
Modelacion Matematica del Comportamiento de Elastomeros Magneto - Activos Proyecto de Intercambio CONICYT-DFG Convocatoria 2011 (552) Proyecto 2011-2011 Inv. Responsable
MATHEMATICAL MODELLING OF NON-LINEAR MAGNETO-SENSITIVE ELASTOMERS FONDECYT (11085024) Proyecto 2008-2011 Inv. Responsable
DESARROLLO Y APLICACION DE MECANICA DE FRACTURA UTILIZANDO DOS PARAMETROS FONDECYT (1980007) Proyecto 1998-2001 Tesista

Roger Bustamante

Profesor Titular

Ingenieria Mecanica

UNIVERSIDAD DE CHILE

Santiago, Chile

Alejandro Ortiz

Associate Professor

Mechanical Engineering

Faculty of Physical and Mathematical Sciences, University of Chile

Santiago, Chile

Eduardo Salas

Investigador Científico

Pontificia Universidad Católica de Chile

Santiago, Chile

oscar orellana

Académico

Matemáticas

Universidad Técnica Federico Santa María

Valparaiso, Chile

Roger Abdon Bustamante Plaza

Líneas de Investigación

Educación

Matematicas, UNIVERSITY OF GLASGOW. Reino Unido, 2007

Ingenieria Mecanica, UNIVERSIDAD TECNICA FEDERICO SANTA MARIA. Chile, 2000

Ingenierio Civil Mecanico, UNIVERSIDAD TECNICA FEDERICO SANTA MARIA. Chile, 2000

Experiencia Académica

Profesor Titular Full Time

Profesor Asociado Full Time

Profesor Asistente Full Time

Instructor Part Time

Experiencia Profesional

Profesor Titular Full Time

Article (65)

BookSection (1)

Errata (1)

Proyecto (5)

ON THE USE OF IMPLICIT CONSTITUTIVE RELATIONS TO MODEL THE BEHAVIOUR OF ELASTIC AND INELASTIC DEFORMATIONS IN CONTINUA=> APPLICATIONS TO THE MATHEMATICAL MODELLING OF ROCK

STUDY OF SOME NEW CONSTITUTIVE LAWS FOR ELASTIC BODIES

Modelacion Matematica del Comportamiento de Elastomeros Magneto - Activos

MATHEMATICAL MODELLING OF NON-LINEAR MAGNETO-SENSITIVE ELASTOMERS

DESARROLLO Y APLICACION DE MECANICA DE FRACTURA UTILIZANDO DOS PARAMETROS