Optimal load sharing in dynamically heterogeneous systems

2002 ◽  
Author(s):  
E. Haddad
Keyword(s):  
Heterogeneous Systems ◽  
Load Sharing ◽  
Optimal Load

scholarly journals Optimal Load Sharing in Bioinspired Fibrillar Adhesives: Asymptotic Solution

2020 ◽  
Vol 88 (3) ◽  
Author(s):  
Harman Khungura ◽  
Mattia Bacca
Keyword(s):  
Asymptotic Solution ◽  
Adhesive Strength ◽  
Closed Form Solution ◽  
Load Sharing ◽  
Form Solution ◽  
Asymptotic Model ◽  
Linear Elastic ◽  
Optimal Load ◽  
Improving Accuracy ◽  
Fibrillar Adhesives

Abstract We propose here an asymptotic solution defining the optimal compliance distribution for a fibrillar adhesive to obtain maximum theoretical strength. This condition corresponds to that of equal load sharing (ELS) among fibrils, i.e., all the fibrils are carrying the same load at detachment; hence, they all detach simultaneously. We model the array of fibrils as a continuum of linear elastic material that cannot laterally transmit load (analogous to a Winkler soil). Ultimately, we obtain the continuum distribution of fibril's compliance in the closed-form solution and compare it with previously obtained data for a discrete model for fibrillar adhesives. The results show improving accuracy for an incremental number of fibrils and smaller center-to-center spacing. Surprisingly, the approximation introduced by the asymptotic model shows reduced sensitivity of the adhesive strength with respect to misalignment and improved adhesive strength for large misalignment angles.

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