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Modeling longitudinal wave propagation in nonlinear viscoelastic solids with softening

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  • معلومة اضافية
    • Contributors:
      Ondes et Imagerie (O&I); Laboratoire de Mécanique et d'Acoustique Marseille (LMA ); Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS); Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS); Laboratoire de Mécanique, Modélisation et Procédés Propres (M2P2); Institut universitaire des systèmes thermiques industriels (IUSTI); Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS); ANR-10-LABX-0092,MEC,Mechanics and Complexity(2010)
    • بيانات النشر:
      HAL CCSD
      Elsevier
    • الموضوع:
      2018
    • Collection:
      Aix-Marseille Université: HAL
    • نبذة مختصرة :
      International audience ; A model for longitudinal wave propagation in rocks and concrete is presented. Such materials are known to soften under a dynamic loading, i.e. the speed of sound diminishes with forcing amplitudes. Also known as slow dynamics, the softening of the material is not instantaneous. Based on continuum mechanics with internal variables of state, a new formulation is proposed, which accounts for nonlinear Zener viscoelasticity and softening. A finite-volume method using Roe linearization is developed for the system of partial differential equations so-obtained. The method is used to carry out resonance simulations, and its performance is assessed in the linear viscoelastic case. Qualitative agreement with experimental results of nonlinear ultrasound spectroscopy (NRUS) and dynamic acousto-elastic testing (DAET) is obtained.
    • Relation:
      hal-01701624; https://hal.science/hal-01701624; https://hal.science/hal-01701624/document; https://hal.science/hal-01701624/file/Ijss1.pdf
    • الرقم المعرف:
      10.1016/j.ijsolstr.2018.02.009
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.B20C2635