scholarly journals Paradoxical Size Effects in Composite Laminates and Other Heterogeneous Materials

Author(s):  
Marcus A. Wheel ◽  
Jamie C. Frame ◽  
Philip E. Riches
2018 ◽  
Vol 15 (06) ◽  
pp. 1850054 ◽  
Author(s):  
Nicholas Fantuzzi ◽  
Lorenzo Leonetti ◽  
Patrizia Trovalusci ◽  
Francesco Tornabene

Cosserat continua demonstrated to have peculiar mechanical properties, with respect to classic Cauchy continua, because they are able to more accurately describe heterogeneous materials, as particle composites and masonry-like material, taking into account size effects. Many studies have been devoted to their numerical implementation. In this paper, some reference benchmarks, referred to an isotropic heterogeneous sample, are shown by comparing the solutions provided by strong and weak formulations. The strong formulation finite element method (SFEM), implemented in MATLAB®, is compared to the finite element method (FEM), given by COMSOL® Multiphysics, and the advantages of the two approaches are highlighted and discussed.


Author(s):  
B.Y. Chen ◽  
T.E. Tay ◽  
P.M. Baiz ◽  
S.T. Pinho

2018 ◽  
Vol 121 ◽  
pp. 47-70 ◽  
Author(s):  
Chi-Cong Vu ◽  
Jérôme Weiss ◽  
Olivier Plé ◽  
David Amitrano ◽  
Damien Vandembroucq

2013 ◽  
Vol 96 ◽  
pp. 736-744 ◽  
Author(s):  
G.H. Erçin ◽  
P.P. Camanho ◽  
J. Xavier ◽  
G. Catalanotti ◽  
S. Mahdi ◽  
...  

1968 ◽  
Vol 12 ◽  
pp. 612-632 ◽  
Author(s):  
P. F. Berry ◽  
T. Furuta ◽  
J. R. Rhodes

AbstractTheories explaining the dependence of characteristic X-ray intensity on particle size in heterogeneous materials are reviewed. Several discrepancies between the theories and between theory and experiment have been discovered. A new theory is proposed based on a more rigorous physical model. It is shown to explain well-established phenomena at least as precisely as do previous formulae. Excellent agreement is also obtained with new observations of the variation of characteristic X-ray intensity with packing degree and, in samples consisting of only one type of particle, with both packing degree and particle size. The same basic theory also predicts the observed variation of X-ray Intensity backscattered from or transmitted through a sample. It is also shown that similar results are obtained with particles suspended In a homogeneous matrix, such as an aqueous slurry.


1998 ◽  
Vol 21 (10) ◽  
pp. 837-854 ◽  
Author(s):  
Dahsin Liu ◽  
Basavaraju B. Raju ◽  
Xinglai Dang

1991 ◽  
Vol 16 (6) ◽  
pp. 623-638 ◽  
Author(s):  
P.A. Badoz ◽  
F. Arnaud d'Avitaya ◽  
E. Rosencher

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