ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

A geometrically inspired model for brittle damage in compressible elastomers

Das, S and Sharma, S and Ramaswamy, A and Roy, D and Reddy, JN (2021) A geometrically inspired model for brittle damage in compressible elastomers. In: Journal of Applied Mechanics, Transactions ASME, 88 (8).

[img] PDF
jou_app_mec_tra_asm_88-08_2021.pdf - Published Version
Restricted to Registered users only

Download (671kB) | Request a copy
Official URL: https://doi.org/10.1115/1.4050620


Regularized continuum damage models such as those based on an order parameter (phase field) have been extensively used to characterize brittle damage of compressible elastomers. However, the prescription of the surface integral and the degradation function for stiffness lacks a physical basis. In this article, we propose a continuum damage model that draws upon the postulate that a damaged material could be mathematically described as a Riemannian manifold. Working within this framework with a well-defined Riemannian metric designed to capture features of isotropic damage, we prescribe a scheme to prevent damage evolution under pure compression. The result is a substantively reduced stiffness degradation due to damage before the peak response and a faster convergence rate with the length scale parameter in comparison with a second-order phase field formulation that involves a quadratic degradation function. We also validate this model using results of tensile experiments on double notched plates. © 2021 by ASME.

Item Type: Journal Article
Publication: Journal of Applied Mechanics, Transactions ASME
Publisher: American Society of Mechanical Engineers (ASME)
Additional Information: The copyright for this article belongs to American Society of Mechanical Engineers (ASME)
Keywords: Continuum damage mechanics; Geometry; Stiffness, Continuum damage model; Degradation functions; Faster convergence; Length scale parameter; Reduced stiffness; Riemannian manifold; Riemannian metrics; Surface integrals, Elastomers
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 15 Jul 2021 10:57
Last Modified: 15 Jul 2021 10:57
URI: http://eprints.iisc.ac.in/id/eprint/68773

Actions (login required)

View Item View Item