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Critical behavior in spallation failure of metals

Strachan, Alejandro and Çağin, Tahir and Goddard, William A., III (2001) Critical behavior in spallation failure of metals. Physical Review B, 63 (6). Art. No. 060103. ISSN 0163-1829. http://resolver.caltech.edu/CaltechAUTHORS:STRAprb01a

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Abstract

Using molecular dynamics with an accurate many-body potential, we studied the rapid expansion of Ta metal following the high compression (50 to 100 GPa) induced by high velocity (2 to 4 km/s) impact. We find that catastrophic failure in this system coincides with a critical behavior characterized by a void distribution of the form N(v)∝V-τ, with τ∼2.2. This corresponds to a threshold in which percolation of the voids results in tensile failure. We define an order parameter (φ, the ratio of the volume of the largest void to the total void volume) which changes rapidly from ∼0 to ∼1 when the metal fails and scales with as φ∝(ρ-ρc)β with exponent β∼0.4, where ρ is the total void fraction. We found similar behavior for FCC Ni suggesting that this critical behavior is a universal characteristic for failure of solids in rapid expansion.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.63.060103DOIArticle
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.63.060103PublisherArticle
ORCID:
AuthorORCID
Çağin, Tahir0000-0002-3665-0932
Goddard, William A., III0000-0003-0097-5716
Additional Information:© 2001 The American Physical Society Received 30 October 2000; published 23 January 2001 This research was funded by Grant No. DOE W-7405-ENG-48 from DOE-ASCI-ASAP. The facilities of the MSC are also supported by grants from NSF (MRI CHE 99), ARO (MURI), ARO (DURIP), NASA, BP Amoco, Exxon, Dow Chemical, Seiko Epson, Avery Dennison, Chevron Corp., Asahi Chemical, 3M, and Beckman Institute.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)W-7405-ENG-48
NSFUNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
NASAUNSPECIFIED
BP AmocoUNSPECIFIED
ExxonUNSPECIFIED
Dow Chemical CompanyUNSPECIFIED
Seiko-EpsonUNSPECIFIED
Avery-DennisonUNSPECIFIED
Chevron CorporationUNSPECIFIED
Asahi ChemicalUNSPECIFIED
3MUNSPECIFIED
Caltech Beckman InstituteUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
WAG0481
Issue or Number:6
Record Number:CaltechAUTHORS:STRAprb01a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:STRAprb01a
Alternative URL:http://dx.doi.org/10.1103/PhysRevB.63.060103
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2157
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:12 Mar 2006
Last Modified:25 Sep 2018 18:23

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