scholarly journals CRITICAL MULTISCALE FLOW FOR INTERFACIAL SLIPPAGE IN MICROCHANNEL

2020 ◽  
Vol 14 ◽  
Author(s):  
Yongbin Zhang ◽  
Zhipeng Tang
Keyword(s):  

Author(s):  
T. H. Lengyel ◽  
Rong Long ◽  
P. Schiavone

We consider the role of interfacial slippage in the deformation and stress fields near the tip of a plane interface crack occurring between a compressible hyperelastic material and a rigid substrate. Specifically, we draw comparisons between the two limiting cases of ‘no-slip’ (infinitely high friction) and ‘frictionless’ (zero friction) surfaces by performing corresponding asymptotic analyses in the crack-tip region. Our results indicate that for the no-slip case, when the body is subjected to far-field loading, the crack deforms to a wedge-like shape consistent with experimental observations reported in the literature. Moreover, in this case, the wedge angle is shown to be directly related to ratios of various Cauchy stress components on the bonded surface in the near-tip region. Finite-element simulations reveal that the wedge angle also depends on material compressibility and the far-field loading conditions. By contrast, the analysis of the frictionless case reveals that the crack consistently opens into a smooth parabolic shape with a right wedge angle and near-tip stress field dominated by the normal stress at the surface. The results established here can be used as a basis for the understanding of the role of varying degrees of slippage on interfacial cracks.



1978 ◽  
Vol 16 (3) ◽  
pp. 415-425 ◽  
Author(s):  
Kiyohisa Takahashi ◽  
Masahiko Ikeda ◽  
Kazuhisa Harakawa ◽  
Kenji Tanaka ◽  
Tetsuya Sakai


Science ◽  
1995 ◽  
Vol 269 (5229) ◽  
pp. 1407-1409 ◽  
Author(s):  
B.-m. Z. Newby ◽  
M. K. Chaudhury ◽  
H. R. Brown
Keyword(s):  


2011 ◽  
Vol 13 (40) ◽  
pp. 18015 ◽  
Author(s):  
Anne Finger ◽  
Diethelm Johannsmann




1994 ◽  
Vol 67 (1) ◽  
pp. 1-16 ◽  
Author(s):  
H. G. Kilian ◽  
M. Strauss ◽  
W. Hamm

Abstract Stress-strain cycles in filler loaded rubbers can be described with the aid of the van der Waals-network model. Reinforcement comes about by drawing pairs of filler particles apart. Reinforcement is observed because the intrinsic strain within the rubber bridge which is located between the filler particles exceeds the macroscopic strain very much, so much that interfacial slippage is enforced. The rubbery intra-cluster bridge distribution is represented by three dominant filler particle distances. One of them describes direct filler-to-filler (FF-) contacts, the critical strength of which is different from the filler-to-matrix (FM-) contacts of the filler-to-filler chains which are located on the whole surface of the filler particles. Formation of clusters is described by a power law. Stress-strain experiments are described with the aid of this model for different filler-matrix combinations (NR, SBR, carbon blacks, silica). Many universal features are observed: The intra-cluster rubber bridges display the same mean thickness when being related to the radius of the primary filler particles. The exponent in the power law is always identical. The deformation mechanisms, including irreversible slippage, do not to depend on the type of strain (simple extension, uniaxial compression). Yet, the Einstein-Smallwood effect turns out to be anisotrop so far as quasipermanent filler-to-matrix interactions seem to be determined by normal forces in the particles surfaces only. Different filler and matrix combinations display different strengths of the FF- and FM-contacts independent of the type of strain.







Sign in / Sign up

Export Citation Format

Share Document