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A Constitutive Scaling Law for Shear Rupture that is Inherently Scale-dependent, and Physical Scaling of Nucleation Time to Critical Point

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Computational Earthquake Science Part I

Part of the book series: Pageoph Topical Volumes ((PTV))

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Abstract

It is shown that the rupture nucleation length increases up to the critical length with time according to a power law, and that the accelerating phase of nucleation leading up to the critical point is scaled in the framework of fracture mechanics based on slip-dependent constitutive formulation. Geometric irregularity of the rupturing surfaces plays a fundamental role in scaling the accelerating phase of nucleation up to the critical point. A power-law scaling relation between the rupture growth length and the nucleation time to the critical point is derived from theoretical consideration based on laboratory data. This power-law scaling relation has no singularity, and hence it may be useful for the predictive purpose of an imminent, large earthquake.

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Authors and Affiliations

  1. The University of Tokyo, Japan, and University College London, London, UK, Utsukushigaoka-Nishi 3-40-19, Aoba-Ku, Yokohama, 225-0001, Japan

    Mitiyasu Ohnaka

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  1. Mitiyasu Ohnaka
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Editors and Affiliations

  1. Earth and Space Sciences Division Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, 91109-8099, USA

    Andrea Donnellan

  2. QUAKES, Earth Systems Science Computational Centre (ESSCC), Department of Earth Sciences, The University of Queensland, 4072, Brisbane, Qld, Australia

    Peter Mora

  3. Department of Earth and Planetary Science, The University of Tokyo, Bunkyo-ku Tokyo, 113-0033, Japan

    Mitsuhiro Matsu’ura

  4. Center for Analysis and Prediction CSB & Laboratory of Nonlinear Mechanics, Institute of Mechanics China Academy of Sciences, Beijing, 100080, China

    Xiang-chu Yin

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Ohnaka, M. (2004). A Constitutive Scaling Law for Shear Rupture that is Inherently Scale-dependent, and Physical Scaling of Nucleation Time to Critical Point. In: Donnellan, A., Mora, P., Matsu’ura, M., Yin, Xc. (eds) Computational Earthquake Science Part I. Pageoph Topical Volumes. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7873-9_7

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  • DOI: https://doi.org/10.1007/978-3-0348-7873-9_7

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-7142-5

  • Online ISBN: 978-3-0348-7873-9

  • eBook Packages: Springer Book Archive

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