63 citations as recorded by crossref.

1. Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies R. Bustamante & D. Sfyris https://doi.org/10.1177/1081286514543600
2. Resonant Column Tests and Nonlinear Elasticity in Simulated Rocks R. Sebastian & T. Sitharam https://doi.org/10.1007/s00603-017-1308-x
3. Analysis of the propagation of small-amplitude waves in nonlinear elastic solids for problems with infinitesimal strains R. Ibarra & R. Bustamante https://doi.org/10.1016/j.wavemoti.2022.102985
4. A bimodular nonlinear constitutive equation for rock R. Bustamante & C. Ortiz https://doi.org/10.1016/j.apples.2021.100067
5. Hysteresis and the Dynamic Elasticity of Consolidated Granular Materials R. Guyer et al. https://doi.org/10.1103/PhysRevLett.82.3280
6. 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 R. Bustamante & K. Rajagopal https://doi.org/10.1007/s00707-014-1293-z
7. Constitutive relations for anisotropic porous solids undergoing small strains whose material moduli depend on the density and the pressure K. Rajagopal & R. Bustamante https://doi.org/10.1016/j.ijengsci.2023.104005
8. A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic R. Meneses et al. https://doi.org/10.1177/1081286516673234
9. Dynamic elastic anisotropy and nonlinearity in wood and rock V. Bucur & P. Rasolofosaon https://doi.org/10.1016/S0041-624X(98)00004-3
10. Solutions of some boundary value problems for a class of constitutive relations for non-linear elastic bodies that is not Green elastic R. Bustamante https://doi.org/10.1093/qjmam/hbw007
11. Dynamic measurements of the nonlinear elastic parameter α in rock under varying conditions P. Johnson et al. https://doi.org/10.1029/2002JB002038
12. Soft-ratchet modeling of end-point memory in the nonlinear resonant response of sedimentary rocks O. Vakhnenko et al. https://doi.org/10.1103/PhysRevB.71.174103
13. Influence of water saturation on the nonlinear elastic mesoscopic response in Earth materials and the implications to the mechanism of nonlinearity K. Van Den Abeele et al. https://doi.org/10.1029/2001JB000368
14. A consistent isotropic spectral constitutive equation: The infinitesimal strain depends nonlinearly on the stress M. Shariff & R. Bustamante https://doi.org/10.1016/j.apples.2020.100007
15. Dispersion of nonlinearity, nonlinear dispersion, and absorption of sound in micro-inhomogeneous materials V. Gusev et al. https://doi.org/10.1121/1.423037
16. A note on incremental equations for a new class of constitutive relations for elastic bodies P. Arrue et al. https://doi.org/10.1016/j.wavemoti.2016.03.008
17. A new constitutive relation to describe the response of bones J. Arumugam et al. https://doi.org/10.1016/j.ijnonlinmec.2024.104664
18. Static friction threshold effects on hysteresis and frequency spectra in rocks A. Kadish https://doi.org/10.1121/1.424640
19. Impact of the alkali–silica reaction products on slow dynamics behavior of concrete A. Kodjo et al. https://doi.org/10.1016/j.cemconres.2011.01.011
20. Nonlinear vibration analysis of the resonant column test of granular materials S. Chong & J. Kim https://doi.org/10.1016/j.jsv.2016.12.018
21. Integrated hydro-mechanical and seismic modelling of the Valhall reservoir: A case study of predicting subsidence, AVOA and microseismicity D. Angus et al. https://doi.org/10.1016/j.gete.2015.05.002
22. A nonlinear model for describing the mechanical behaviour of rock R. Bustamante & K. Rajagopal https://doi.org/10.1007/s00707-017-1968-3
23. Role of fluid injection in the evolution of fractured reservoirs J. Berryman https://doi.org/10.1016/j.ijengsci.2016.02.004
24. Increase of creep interevent intervals: a conceptual model M. Belardinelli https://doi.org/10.1016/S0040-1951(97)00080-2
25. Influence of change in physical state on elastic nonlinear response in rock: Significance of effective pressure and water saturation B. Zinszner et al. https://doi.org/10.1029/96JB03225
26. On the problem of source identification from far-field observations in hysteretic materials A. Kadish https://doi.org/10.1121/1.423075
27. Magnitude of nonlinear sediment response in Los Angeles basin during the 1994 Northridge, California, earthquake I. Beresnev et al. https://doi.org/10.1785/BSSA0880041079
28. Micro-damage diagnostics using nonlinear elastic wave spectroscopy (NEWS) K. Van Den Abeele et al. https://doi.org/10.1016/S0963-8695(00)00064-5
29. Spectral formulations in nonlinear solids: A brief summary M. Shariff et al. https://doi.org/10.1177/10812865231204366
30. Nonlinear elastic effects on permanent deformation due to large earthquakes K. Bataille & M. Contreras https://doi.org/10.1016/j.pepi.2008.02.016
31. Slow dynamics in the nonlinear elastic response of Berea sandstone J. Ten Cate & T. Shankland https://doi.org/10.1029/96GL02884
32. A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies S. Montero et al. https://doi.org/10.1007/s00707-015-1480-6
33. CO2 rock physics modeling for reliable monitoring of geologic carbon storage N. Creasy et al. https://doi.org/10.1038/s43247-024-01493-6
34. Self-modulation instability in materials with hysteretic quadratic nonlinearity V. Gusev https://doi.org/10.1016/S0165-2125(00)00052-4
35. Kelvin's eigensystems in anisotropic poroelasticity K. Helbig & P. Rasolofosaon https://doi.org/10.1190/1.3173805
36. New Systematic Method to Determine Elastic Constants and Crack Propagation Thresholds of Brittle Rocks Under Triaxial Compression H. Yu & K. Ng https://doi.org/10.1007/s10706-021-01737-8
37. Evidence of Nonlinear Seismic Effects in the Earth from Downhole Distributed Acoustic Sensors A. Yurikov et al. https://doi.org/10.3390/s22239382
38. Axisymmetric deformation of a materially nonlinear circular plate J. Peddieson & Y. Liu https://doi.org/10.1007/s11012-016-0427-x
39. Three-dimensional numerical modeling of a stationary v-notch in a porous material constituted by a non-linear response relationship K. Gou & S. Mallikarjunaiah https://doi.org/10.1177/10812865251383876
40. Plastic yielding as a frequency and amplitude independent mechanism of seismic wave attenuation V. Yarushina & Y. Podladchikov https://doi.org/10.1190/1.3420734
41. Nonequilibrium and nonlinear dynamics in Berea and Fontainebleau sandstones: Low‐strain regime D. Pasqualini et al. https://doi.org/10.1029/2006JB004264
42. Toward phenomenological universality of the mechanical behavior of arbitrarily anisotropic porous rocks P. Rasolofosaon https://doi.org/10.1190/1.3560166
43. A novel nonlinear constitutive model for rock: Numerical assessment and benchmarking R. Bustamante et al. https://doi.org/10.1016/j.apples.2020.100012
44. Evaluating hysteresis in earth materials under dynamic resonance A. Kadish et al. https://doi.org/10.1029/96JB02480
45. A spectral approach for nonlinear transversely isotropic elastic bodies, for a new class of constitutive equation: Applications to rock mechanics M. Shariff & R. Bustamante https://doi.org/10.1007/s00707-020-02797-2
46. Experimental and numerical study of the Kaiser effect in cyclic Brazilian tests with disk rotation A. Lavrov et al. https://doi.org/10.1016/S1365-1609(02)00038-2
47. Nonlinear Response of a Weakly Damaged Metal Sample: A Dissipative Modulation Mechanism of Vibro-Acoustic Interaction V. Zaitsev & P. Sas https://doi.org/10.1177/107754630000600601
48. Imaging and Monitoring Temporal Changes of Shallow Seismic Velocities at the Garner Valley Near Anza, California, Following the M7.2 2010 El Mayor‐Cucapah Earthquake L. Qin et al. https://doi.org/10.1029/2019JB018070
49. Unified phenomenological model for the mechanical behavior of rocks P. Rasolofosaon https://doi.org/10.1190/1.3169505
50. Timing of a large volcanic flank movement at Piton de la Fournaise Volcano using noise-based seismic monitoring and ground deformation measurements D. Clarke et al. https://doi.org/10.1093/gji/ggt276
51. Slow and fast dynamics to control damage in heterogeneous materials: application to concrete and glass/fibre polymer M. BENTAHAR et al. https://doi.org/10.2978/jsas.17.70
52. The Importance of the Inelastic and Elastic Structures of the Crust in Constraining Glacial Density, Mass Change, and Isostatic Adjustment From Geodetic Observations in Southeast Alaska W. Durkin et al. https://doi.org/10.1029/2018JB016399
53. Reservoir stress path and induced seismic anisotropy: results from linking coupled fluid-flow/geomechanical simulation with seismic modelling D. Angus et al. https://doi.org/10.1007/s12182-016-0126-1
54. Stress‐dependent elastic wave velocity of microfractured sandstone D. Katsuki et al. https://doi.org/10.1002/nag.2210
55. Interaction of counterpropagating acoustic waves in media with nonlinear dissipation and in hysteretic media V. Gusev et al. https://doi.org/10.1016/S0165-2125(98)00038-9
56. Dynamic nonlinear elasticity in geomaterials L. Ostrovsky & P. Johnson https://doi.org/10.1007/BF03548898
57. Focusing of Divergent Cylindrical Waves and the Prospects for Borehole Acoustics D. Kas'yanov & G. Shalashov https://doi.org/10.1023/A:1015953826747
58. Model for nonlinear wave propagation derived from rock hysteresis measurements H. Xu et al. https://doi.org/10.1029/98JB02838
59. Slow elastic dynamics in a resonant bar of rock R. Guyer et al. https://doi.org/10.1029/98GL51231
60. Tracing causes for the stress sensitivity of elastic wave velocities in dry Castlegate sandstone A. Stroisz & E. Fjær https://doi.org/10.1093/gji/ggs029
61. A high-order discontinuous Galerkin method for 1D wave propagation in a nonlinear heterogeneous medium S. Chabot et al. https://doi.org/10.1016/j.jcp.2017.11.013
62. On the behaviour of spherical inclusions in a cylinder under tension loads S. Montero Guarda et al. https://doi.org/10.17163/ings.n19.2018.07
63. Study of weak and strong ground motion including nonlinearity from the Northridge, California, earthquake sequence F. Su et al. https://doi.org/10.1785/BSSA0880061411