Publications Roger Bustamante

 

 

Papers

1.     R. Bustamante, K.R. Rajagopal, Modeling residual stresses in elastic bodies described by implicit constitutive relations. International Journal of Nonlinear Mechanics, 105 (2018) 113-129.

2.     R. Bustamante, K.R. Rajagopal, Correction to: On a new class of electroelastic bodies. I. Proceedings of the Royal Society of London, 473 (2018) 20170523

3.     R. Bustamante, K.R. Rajagopal, A nonlinear model for describing the mechanical behaviour of rock. Acta Mechanica 229 (2018) 251-272

4.     R. Meneses, O. Orellana, R. Bustamante, A note on the wave equation for a new class of constitutive relation for nonlinear elastic bodies. Mathematics and Mechanics of Solids 23 (2018)148-158

5.     M.H.B.M. Shariff, R. Bustamante, J. Merodio, Rate type constitutive equations for fiber reinforced nonlinearly vicoelastic solids using spectral invariants. Mechanics Research Communications 84 (2017) 60-64

6.     M.H.B.M. Shariff, R. Bustamante, J. Merodio, On the spectral analysis of residual stress in finite elasticity. IMA Journal of Applied Mathematics 82 (2017) 656-680.

7.     R. Bustamante, K.R. Rajagopal, Implicit equations for thermoelastic bodies. International Journal of Non-linear Mechanics 92 (2017) 144-152

8.     M.H.B.M Shariff, R. Bustamante, M. Hossain and P. Steinmann, A novel spectral formulation for nonlinear transversely magnetoelastic deformations. Mathematics and Mechanics of Solids 22 (2017) 1158-1176.

9.     R. Bustamante, Solutions of some boundary value problems for a class of constitutive relation for nonlinear elastic bodies that is not Green elastic. The Quarterly Journal of Mechanics and Applied Mathematics, 69 (2016) 257-279.

10. M.H.B.M. Shariff, R. Bustamante, An anisotropic model for the Mullins effect in magneto-active rubber-like materials. Journal of Mechanics of Materials and Structures, 11 (2016) 559-582.

11. P. Arrue, R. Bustamante, D. Sfyris, A note on incremental equations for a new class of constitutive relation for elastic bodies. Wave Motion 65 (2016) 44-54

12. D. Sfyris, G.I. Sfyris and R. Bustamante, Nonlinear electro-magneto-mechanical constitutive modeling of monolayer graphene. Proceedings of the Royal Society of London A 472 (2016) 20150750

13. R. Bustamante, O. Orellana, R. Meneses and K.R. Rajagopal, Large deformations of a new class of incompressible elastic bodies. Zeitschrift für angewandte Mathematik und Physik 67 (2016) 47

14. R. Bustamante, M.H.B.M. Shariff, New set of invariants for an electro-elastic body with one and two families of fibres. European Journal of Mechanics A 58 (2016) 42-53.

15. S. Montero, R. Bustamante, A. Ortiz, Numerical study of some plane stress problems for a new class of constitutive relation for elastic bodies. Acta Mechanica, 227 (2016) 601-615.

16. R. Bustamante, K. R. Rajagopal, On the consequences of the constraint of incompressibility with regard to a new class of constitutive relations for elastic bodies. Small displacement gradient approximation. Continuum Mechanics and Thermodynamics 28 (2016) 293-303.

17. R. Bustamante, K. R. Rajagopal, Study of a new class of  non-linear inextensible elastic bodies. Zeitschrift für angewandte Mathematik und Physik 66 (2015) 3663-3677.

18. R. Bustamante, K. R. Rajagopal, A note on some new classes of constitutive relations for elastic bodies, IMA Journal of Applied Mathematics, 80 (2015) 1287-1299.

19. R. Bustamante, K. R. Rajagopal, Implicit constitutive relations in nonlinear magneto-elasticity. Proceedings of the Royal Society of London A, 471 (2015) 20140959

20. M.H.B.M. Shariff, R. Bustamante, On the strain invariants for a body with two preferred directions in nonlinear elasticity. International Journal of Engineering Science 97 (2015) 18-25

21. D. Sfyris, R. Bustamante, On the treatment of non-solvable implicit constitutive relations in solid mechanics, Z. angew. Math. Phys., 66 (2015) 1165-1774

22. R. Bustamante, K. R. Rajagopal, Solutions of some boundary value problems for a new class of elastic bodies. Comparison with the classical theory of linear elasticity: Part I Problems with cylindrical symmetry. Acta Mechanica, 226 (2015) 1815-1838

23. R. Bustamante, K. R. Rajagopal, Solutions of some boundary value problems for a new class of elastic bodies. Comparison with the classical theory of linear elasticity: Part II A problem with spherical symmetry. Acta Mechanica, 226 (2015) 1807-1813

24. E. Salas, R. Bustamante, Numerical solution of some boundary value problems in nonlinear magnetoelasticity, Journal of Intelligent Material Systems and Structures, 26 (2015) 156-171.

25. R. Bustamante, M.H.B.M. Shariff, A principal axis formulation for nonlinear magnetoelastic deformations: Isotropic bodies, European Journal of Mechanics, 50 (2015) 17-27

26. R. Bustamante, D. Sfyris, Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies, Mathematics and Mechanics of Solids, 20 (2015) 80-91

27. A. Ortiz-Bernardin, R. Bustamante, K. R. Rajagopal, A numerical study of elastic bodies that are described by constitutive equations that exhibit limited strains, International Journal of Solids and Structures, 51 (2014) 875-885

28. D. Sfyris, R. Bustamante, Use of some theorems related with the tensor equation AX+XA=H for some classes of implicit constitutive relations, The Quarterly Journal of Mechanics and Applied Mathematics, 66 (2013) 157-163

29.  R. Bustamante, R. W. Ogden, Nonlinear magnetoelastostatics: energy functional and their second variations, Mathematics and Mechanics of Solids, 18 (2013) 760-772.

30. R. Bustamante, K. R. Rajagopal, On a new class of electroelastic bodies. II. Boundary value problems, Proceedings of the Royal Society of London A, 469 (2013) 20130106.

31. R. Bustamante, K. R. Rajagopal, On a new class of electroelastic bodies: Part I, Proceedings of the Royal Society of London A, 469 (2013) 20120521.

32. F. Vogel, R. Bustamante, P. Steinmann, On some mixed variational principles in magneto elastostatics. International Journal of Nonlinear Mechanics, 51 (2013) 157-169

33. G. deBotton, R. Bustamante, A. Dorfmann, Axisymmetric bifurcations of thick spherical shells under inflation and compression, International Journal of Solids and Structures, 50 (2013) 403-413

34. R. Bustamante, J. Merodio, On weak formulations and their second variation in nonlinear electroelasticity, Mechanics Research Communications, 46 (2012) 15-19

35. R. Bustamante, K. R. Rajagopal, On the inhomogeneous shearing of a new class of elastic bodies, Mathematics and Mechanics of Solids, 17 (2012) 762-778

36. A. Ortiz, R. Bustamante, K. R. Rajagopal, A numerical study of a plate with a hole for a new class of elastic bodies, Acta Mechanica, 223 (2012) 1971-1981

37. F. Vogel, R. Bustamante, P. Steinmann, On mixed variational principles in electro-elastostatics, International Journal of Nonlinear Mechanics, 47 (2012) 341-354

38. R. Bustamante, K. R. Rajagopal, Solutions of some simple boundary value problems within the context of a new class of elastic bodies, International Journal of Nonlinear Mechanics, 46 (2011) 376-386

39. R. Bustamante, J. Merodio, Constitutive structure in coupled non-linear electro-elasticity: Invariant descriptions and constitutive restrictions, International Journal of Nonlinear Mechanics, 46 (2011) 1315-1323

40. R. Bustamante, A. Dorfmann and R. W. Ogden, Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity, International Journal of Solids and Structures, 48 (2011) 874-883

41. R. Bustamante, G. Holzapfel, Methods to compute 3D residual stress distributions in hyperelastic tubes with application to arterial walls, International Journal of Engineering Science, 48 (2010) 1066-1082

42. R. Bustamante, J. Merodio, On some simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers, Journal of Engineering Mathematics, 68 (2010), 15-26

43. R. Bustamante, K. R. Rajagopal, A note on plane strain and plane stress problems for a new class of elastic bodies, Mathematics and Mechanics of Solids, 15 (2010), 229-238

44. R. Bustamante, Transversely isotropic nonlinearly magnetoelastic solids, Acta Mechanica, 210 (2010), 183-214

45. R. Bustamante, A variational formulation for a boundary value problem considering an electro-sensitive elastomer interacting with two bodies, Mechanics Research Communications, 36 (2009), 791-795

46. R. Bustamante, A. Dorfmann and R. W. Ogden, On electric body forces and Maxwell stresses in an electroelastic solid, International Journal of Engineering Science, 47 (2009) 1131-1141

47. R. Bustamante, Some topics on a new class of elastic bodies, Proceedings of the Royal Society of London, Series A, 465 (2009) 1377-1392

48. R. Bustamante, Mathematical modelling of boundary conditions for magneto -sensitive elastomers: variational formulations, Journal of Engineering Mathematics, 64 (2009) 285-301

49. R. Bustamante, Transversely isotropic non-linear electro-active elastomer, Acta Mechanica, 206 (2009) 237-259

50. R. Bustamante, A. Dorfmann and R. W. Ogden, Nonlinear electroelastostatics: a variational framework, Z. angew. Math. Phys. 60 (2009) 154-177

51. R. Bustamante, A. Dorfmann and R. W. Ogden, On variational formulations in nonlinear magneto-elastostatics, Mathematics and Mechanics of Solids 13 (2008) 435-450

52. R. Bustamante, A. Dorfmann and R. W. Ogden, A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution, Journal of Engineering Mathematics 59 (2007) 139-153

53. R. Bustamante, A. Dorfmann and R. W. Ogden, Universal relations in isotropic nonlinear magnetoelasticity, The Quarterly Journal of Mechanics and Applied Mathematics 59 (2006) 435-450

54. R. Bustamante, R. W. Ogden, On nonlinear universal relations in nonlinear elasticity, Z. angew. Math. Phys. 57 (2006) 708-721

55. R. Bustamante, R. W. Ogden, Universal relations for nonlinear electroelastic solids, Acta Mechanica 182 (2006) 125-140


Accepted Papers

1.     R. Bustamante, Corrigendum: Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies. Mathematics and Mechanics of Solids (Accepted) DOI:10.1177/1081286517693294

2.     M.H.B.M. Shariff, R. Bustamante, J. Merodio, Nonlinear electro-elastic bodies with residual stresses: Spectral formulation. The Quarterly Journal of Mechanics and Applied Mathematics. (Accepted)

 


Papers in preparation

3.     R. Bustamante, K.R. Rajagopal, An implicit viscoelastic model. (In Preparation).

4.     M.H.B.M. Shariff, R. Bustamante, J. Merodio, Corrigendum: Rate type constitutive equations for fiber reinforced nonlinearly vicoelastic solids using spectral invariants (In Preparation).

5.     R. Bustamante, K.R. Rajagopal, Implicit theories for elastic bodies (Submitted).

6.     M.H.B.M. Shariff, R. Bustamante, J. Merodio, A nonlinear electro-elastic model with residual stresses and a preferred direction (Submitted).

Proceedings papers and papers in non-ISI journals

  1. S. Montero, R. Bustamante, A. Ortiz-Bernardin, On the behavior of spherical inclusions in a cylinder under traction considering a new type of constitutive relation for elastic bodies. Ingenius (Accepted) https://doi.org/10.17163/ings.n19.2018.07
  2. R. Bustamante, Numerical modelling of the behaviour of magneto-sensitive elastomers, Books of Abstracts, 2nd International Conference on Material Modelling,  Eds. J. Besson and M. Mazière, Paris, France, 31 de August al 2 de September (2011), pp 7
  3. R. Bustamante, A simple constitutive inequality for isotropic magneto-sensitive elastomers, Proceedings of the 7th Euromech Solid Mechanics Conference (Books of Abstracts, Mini-Symposia), Eds. J. A. C. Ambrósio and M. P. T. Silva, Lisbon, Portugal, 7-11 September (2009), pp 463-464
  4. R. Bustamante, A. Dorfmann and R. W. Ogden, On boundary conditions in nonlinear magneto- and electroelasticity, Proceedings of the 5th European Conference on Constitutive Models for Rubber, ECCMR, Eds. A. Boukamel, L. Laiarinandrasana, S. Méo and E. Verron, Paris, France, 4-7 September (2007), pp 339-344
  5. R. Bustamante, A. Dorfmann and R. W. Ogden, A variational formulation for magneto-active elastomers based on a total energy function, PAMM Proceedings of Applied Mathematics and Mechanics, Vol. 7, 1090703-1090704 (2007)/ DOI 10.102/pamm.200700146


Presentations

  1. R. Bustamante, An implicit constitutive relation to model the elastic and inelastic behaviour of rock. 10th European Solid Mechanics Conference, ESMC2018, Bologna, Italy, July 2-6, 2018.
  2. R. Bustamante, Modelación de esfuerzos residuals en cuerpos elástico considerando un nuevo tipo de ecuación constitutiva. Congreso Chileno de Ingeniería Mecánica COCIM2017, Universidad de Santiago de Chile, Santiago, Chile, November 22-24, 2017
  3. R. Bustamante, A nonlinear model for the mechanical behaviour of rock. International Conference Modelling of Nonlinear Continua, Castro Urdiales, Spain, June 26-30, 2017.
  4. R. Bustamante, Some topics on some new classes of constitutive relations for elastic bodies, Department of Mechanical Engineering, University of Texas A&M, College Station, Texas, USA, 19th of January 2017.
  5. R. Bustamante, Implicit constitutive relations for thermoelastic bodies. 40th Solid Mechanics Conference, Warsaw, Poland, 28th of August- 2nd  September 2016.
  6. R. Bustamante, Constraints for some new classes of constitutive relations for elastic bodies, 9th European Solid Mechanics Conference ESMC 2015, Madrid, Spain, 6-10 July 2015.
  7. R. Bustamante, M.H.B.M. Shariff, New sets of invariants for an electro-elastic body with one and two families of fibres, Encuentro de Elasticidad No-lineal, Homogenización y Fractura, Facultad de Matematicas, Pontificia Universidad Católica de Chile, 24-24 June 2015.
  8. R. Bustamante, Some topics on some new classes of constitutive relations for elastic bodies, XXI Congreso sobre Métodos Numéricos y sus Aplicaciones ENIEF 2014, Bariloche, Argentina, 23-26 September 2014.
  9. Ortiz-Bernardin, R. Bustamante, K. R. Rajagopal, Estudio numérico de cuerpos elásticos que están descritos por ecuaciones constitutivas que exhiben deformaciones limitadas, Jornadas de Mecánica Computacional, Santiago, Chile, 3-4 October 2013.
  10. R. Bustamante, New classes of constitutive relations for electro-elastic materials, International Workshop on New Trends in Solid Mechanics: Coupled Fields and Multi-scale Modelling, Castro Urdiales, Cantabria, Spain, 24-28 June 2013.
  11. R. Bustamante, Implicit constitutive relations for electro-elastic bodies, Chinese-Italian Bilateral Meeting on Mechanics and International Workshop on Mathematical and Mechanical Modelling for Materials, City University of Hong Kong, Hong Kong, China 28-31 August 2012
  12. R. Bustamante, K. R. Rajagopal, On a new class of elastic bodies: Some theoretical issues and applications, 8th European Solid Mechanics Conference, Graz, Austria 9-13 July 2012
  13. R. Bustamante, Un nuevo tipo de ecuación constitutiva para cuerpos elásticos: Desafíos para la modelación numérica, X Jornadas de Mecánica Computacional, Departamento de Ingeniería Estructural, Pontificia Universidad Católica de Chile, Santiago, 13-14 Octubre 2011.
  14. R. Bustamante, Some topics on a new class of elastic bodies, Perambulation in Continuum Mechanics: A Meeting in Celebration of the 60th Birthday of Professor K. R. Rajagopal, Texas A&M University, College Station, Texas, USA 11-13 November 2010
  15. R. Bustamante and G. Holzapfel, The problem of computing 3D residual stresses distributions in a neo-Hookean tube, Symposium in honor of the contribution of Ray Ogden, the recipient of the Prager Medal, 47th Annual Technical Meeting of the Society of Engineering Science, Iowa State University, Ames, Iowa, USA 4-6 October 2010
  16. R. Bustamante, Mathematical modelling of a new class of elastic bodies, Symposium on Nonlinear Mechanics in Celebration of the 60th Birthday of K. R. Rajagopal, 47th Annual Technical Meeting of the Society of Engineering Science, Iowa State University, Ames, Iowa, USA 4-6 October 2010
  17. R. Bustamante, Finite element modelling of magneto-sensitive elastomers, 9th World Congress on Computational Mechanics and 4th Asian Pacific Congress on Computational Mechanics (WCCM/APCOM 2010), Sydney, Australia 19-23 Julio 2010
  18. R. Bustamante, A variational formulation for a magneto sensitive body interacting with a rigid semi-infinite body, and some restrictions for the total energy function, Kolloquium für Mechanik, Universität Erlangen Nünberg, Erlangen, Germany, 19 January 2010
  19. R. Bustamante, R. W. Ogden, Transversely isotropic electro-sensitive rubber-like materials, 3rd Canadian Conference on Nonlinear Solid Mechanics, University of Toronto, Toronto, Ontario, Canada 25-29 Julio 2008
  20. R. Bustamante, A. Dorfmann and R. W. Ogden, A variational formulation for magneto-active elastomers based on the total energy approach, International Conference on Industrial and Applied Mathematics, Federal Institute of Technology, Zurich, Switzerland 16-20 July 2007
  21. R. Bustamante, Transversely isotropic non-linear magneto-sensitive rubber-like materials, Kolloquium für Mechanik, Technische Universität Kaiserslautern, Kaiserslautern, Germany, 27 February 2007
  22. R. Bustamante, R. W. Ogden, Some boundary value problems for non-linear transversely isotropic electro-active elastomers, International Symposium on Trends in Applications of Mathematics to Mechanics (STAMM), Vienna University of Technology, Vienna, Austria, 10-14 Julio 2006
  23. R. Bustamante, R. W. Ogden, A numerical model of the electric field for an electro-active rubber like cylinder under traction, British Applied Mathematics Colloquium (BAMC), Keele University, 24-27, United Kingdom, April 2006