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A Micromechanical Constitutive Model for the Dynamic Response of Brittle Materials "Dynamic Response of Marble"


Haberman, Keith Scott (2000) A Micromechanical Constitutive Model for the Dynamic Response of Brittle Materials "Dynamic Response of Marble". Engineer's thesis, California Institute of Technology. doi:10.7907/smj0-cq27.


A micromechanically based constitutive model for the dynamic inelastic behavior of brittle materials, specifically "Dionysus-Pentelicon marble" with distributed microcracking is presented. Dionysus-Pentelicon marble was used in the construction of the Parthenon, in Athens, Greece. The constitutive model is a key component in the ability to simulate this historic explosion and the preceding bombardment form cannon fire that occurred at the Parthenon in 1678. Experiments were performed by Rosakis (1999) that characterized the static and dynamic response of this unique material. A micromechanical constitutive model that was previously successfully used to model the dynamic response of granular brittle materials is presented. The constitutive model was fitted to the experimental data for marble and reproduced the experimentally observed basic uniaxial dynamic behavior quite well. This micromechanical constitutive model was then implemented into the three dimensional nonlinear lagrangain finite element code Dyna3d(1998). Implementing this methodology into the three dimensional nonlinear dynamic finite element code allowed the model to be exercised on several preliminary impact experiments. During future simulations, the model is to be used in conjunction with other numerical techniques to simulate projectile impact and blast loading on the Dionysus-Pentelicon marble and on the structure of the Parthenon.

Item Type:Thesis (Engineer's thesis)
Subject Keywords:Aeronautics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Rosakis, Ares J. (advisor)
  • Ortiz, Michael (advisor)
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 June 2000
Record Number:CaltechETD:etd-12182007-113248
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5052
Deposited By: Imported from ETD-db
Deposited On:08 Jan 2008
Last Modified:16 Apr 2021 22:21

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