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A Model for Kidney Tissue Damage under High Speed Loading

Weinberg, Kerstin and Colonius, Tim and Ortiz, Michael (2004) A Model for Kidney Tissue Damage under High Speed Loading. Proceedings in Applied Mathematics and Mechanics, 4 (1). pp. 234-235. ISSN 1617-7061.

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In a medical procedure to comminute kidney stones the patient is subjected to hypersonic waves focused at the stone. Unfortunately such shock waves also damage the surrounding kidney tissue. We present here a model for the mechanical response of the soft tissue to such a high speed loading regime. The material model combines shear induced plasticity with irreversible volumetric expansion as induced, e.g., by cavitating bubbles. The theory is based on a multiplicative decomposition of the deformation gradient and on an internal variable formulation of continuum thermodynamics. By the use of logarithmic and exponential mappings the stress update algorithms are extended from small‐strain to the finite deformation range. In that way the time‐discretized version of the porous‐viscoplastic constitutive updates is described in a fully variational manner. By numerical experiments we study the shock‐wave propagation into the tissue and analyze the resulting stress states. A first finite element simulation shows localized damage in the human kidney.

Item Type:Article
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URLURL TypeDescription
Colonius, Tim0000-0003-0326-3909
Ortiz, Michael0000-0001-5877-4824
Additional Information:© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. First published: 24 November 2004; issue online: 24 November 2004; version of record online: 24 November 2004.
Issue or Number:1
Record Number:CaltechAUTHORS:20190718-165126641
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Official Citation:Weinberg, K. , Colonius, T. and Ortiz, M. (2004), A Model for Kidney Tissue Damage under High Speed Loading. Proc. Appl. Math. Mech., 4: 234-235. doi:10.1002/pamm.200410098
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97263
Deposited By: Melissa Ray
Deposited On:23 Jul 2019 22:09
Last Modified:24 Feb 2020 10:30

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