a three-scale layerwise multiscale analysis method (LMAM) for composite honeycomb sandwich structures was established. The macroscopic model of composite laminates was discretized by RLWT
and the microscopic unit cell model composed of fibers and matrix was established by three-dimensional finite element method. In the numerical example
the numerical simulation of the cubic block with inclusions was carried out
and the simulation results were compared with those of the direct numerical simulation (DNS) method
which verified the correctness of the LMAM. LMAM is also used to calculate and analyze the macroscopic
mesoscopic and microscopic stress distribution of composite honeycomb sandwich structures.
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references
BIRMAN V , KARDOMATEAS G A . Review of current trends in research and applications of sandwich structures [J]. Composites Part B: Engineering , 2018 , 142 : 221 - 240 .
REISSNER E . Finite deflections of sandwich plates [J]. Journal of the Aeronautical Sciences , 1948 , 15 ( 7 ): 435 - 440 .
BURTON W S , NOOR A K . Assessment of computational models for sandwich panels and shells [J]. Computer Methods in Applied Mechanics and Engineering , 1995 , 124 ( 1/2 ): 125 - 151 .
ZENKERT D . An introduction to sandwich construction [M]. West Midlands : Engineering Materials Advisory Services Ltd. , 1995 : 12 - 15 .
YU Zhiqiang , GUO Zhangxin , WEI Shiyi , et al . Three point bending performance of composite honeycomb sandwich structure [J]. Journal of Mechanical Strength , 2023 , 45 ( 3 ): 584 - 590 . (In Chinese)
HANG J T , ZHAO W , LIU L , et al . Damage sensitivity studies of composite honeycomb sandwich structures under in-plane compression and 4-point bending:experiments and numerical simulations [J]. Composite Structures , 2023 , 321 : 117279 .
LI D H , WU P X , WAN A S . A two-scale computational continua multiscale analysis model for honeycomb sandwich plates [J]. Mechanics of Advanced Materials and Structures , 2023 , 30 ( 3 ): 473 - 485 .
SHI G , TONG P . The derivation of equivalent constitutive equations of honeycomb structures by a two scale method [J]. Computational Mechanics , 1995 , 15 ( 5 ): 395 - 407 .
XU X F , QIAO P Z , DAVALOS J F . Transverse shear stiffness of composite honeycomb core with general configuration [J]. Journal of Engineering Mechanics , 2001 , 127 ( 11 ): 1144 - 1151 .
RABCZUK T , KIM J Y , SAMANIEGO E , et al . Homogenization of sandwich structures [J]. International Journal for Numerical Methods in Engineering , 2004 , 61 ( 7 ): 1009 - 1027 .
CATAPANO A , MONTEMURRO M . A multi-scale approach for the optimum design of sandwich plates with honeycomb core: part I: homogenisation of core properties [J]. Composite Structures , 2014 , 118 : 664 - 676 .
CATAPANO A , MONTEMURRO M . A multi-scale approach for the optimum design of sandwich plates with honeycomb core: part Ⅱ: the optimisation strategy [J]. Composite Structures , 2014 , 118 : 677 - 690 .
SUN Y L , LI Q M . Dynamic compressive behaviour of cellular materials: a review of phenomenon,mechanism and modelling [J]. International Journal of Impact Engineering , 2018 , 112 : 74 - 115 .
FISH J . Practical multiscaling [M]. West Sussex : John Wiley & Sons Inc , 2014 : 16 - 27 .
SRINIVAS S . A refined analysis of composite laminates [J]. Journal of Sound and Vibration , 1973 , 30 ( 4 ): 495 - 507 .
LI D H , QING G , LIU Y . A layerwise/solid-element method for the composite stiffened laminated cylindrical shell structures [J]. Composite Structures , 2013 , 98 : 215 - 227 .
LI D H , WAN A S . A layerwise multiscale analysis method for composite laminated plates [J]. Composite Structures , 2021 , 257 : 113157 .