Approximate agreement with mixed mode faults: Algorithm and lower bound

Author(s):  
Richard Plunkett ◽  
Alan Fekete
Keyword(s):  

2020 ◽  
Vol 88 (2) ◽  
Author(s):  
Subramanyam Reddy Matli ◽  
Ella Rubin ◽  
Leslie Banks-Sills

Abstract An interface crack between single crystal silicon (SC-Si) and silicone rubber is examined. The first term of the asymptotic solution for this interface crack is derived. Mixed mode fracture tests were performed on Brazilian disk specimens at different mode mixities. Finite element analyses (FEAs) of these tests were carried out in abaqus. A cubic (anisotropic) material model is used for SC-Si. Two different material models were used for silicone rubber: a linear elastic model for the asymptotic solution and a Mooney–Rivlin (hyperelastic) model for the FEA. The FEAs showed that large deformations were relegated to a small region surrounding the crack tip. Hence, a K-dominate region exists in which linear elastic fracture mechanics (LEFM) may be used. From the FEAs of the Brazilian disk specimens, energy release rates were determined using the virtual crack closure technique (VCCT) and displacement extrapolation (DE) methods which were corroborated by J-integral values evaluated using the contour integral method. Elsewhere, it was demonstrated that properly implemented, the VCCT method may be used for interface cracks. A mixed mode failure criterion is obtained from the energy release rate data. The SC-Si failed before the interface crack propagated. Hence, the failure curve obtained in this study should be considered as a lower bound of the critical energy release rate for this material pair.



2011 ◽  
Vol 45 (1) ◽  
pp. 65-74 ◽  
Author(s):  
M. R. M. Aliha ◽  
M. R. Ayatollahi ◽  
J. Akbardoost




2017 ◽  
Vol 24 (1) ◽  
pp. 46-72
Author(s):  
Jacob Tootalian

Ben Jonson's early plays show a marked interest in prose as a counterpoint to the blank verse norm of the Renaissance stage. This essay presents a digital analysis of Jonson's early mixed-mode plays and his two later full-prose comedies. It examines this selection of the Jonsonian corpus using DocuScope, a piece of software that catalogs sentence-level features of texts according to a series of rhetorical categories, highlighting the distinctive linguistic patterns associated with Jonson's verse and prose. Verse tends to employ abstract, morally and emotionally charged language, while prose is more often characterized by expressions that are socially explicit, interrogative, and interactive. In the satirical economy of these plays, Jonson's characters usually adopt verse when they articulate censorious judgements, descending into prose when they wade into the intractable banter of the vicious world. Surprisingly, the prosaic signature that Jonson fashioned in his earlier drama persisted in the two later full-prose comedies. The essay presents readings of Every Man Out of his Humour and Bartholomew Fair, illustrating how the tension between verse and prose that motivated the satirical dynamics of the mixed-mode plays was released in the full-prose comedies. Jonson's final experiments with theatrical prose dramatize the exhaustion of the satirical impulse by submerging his characters almost entirely in the prosaic world of interactive engagement.



2016 ◽  
Vol 23 (2) ◽  
pp. 45-64
Author(s):  
Heewon Chung
Keyword(s):  


Author(s):  
Junru Zhang ◽  
Lixue Wang ◽  
Chunyue Wang
Keyword(s):  


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