Multi-Scale Analysis of Viscoelastic Behavior of Laminated Composite Structures

2010 ◽  
Vol 430 ◽  
pp. 115-132
Author(s):  
Y. Shibuya ◽  
Hideki Sekine

For high temperature applications of laminated composite structures, viscoelastic behavior of laminated composite structures is investigated by multi-scale analysis based on a homogenization theory. Effective viscoelastic properties of the laminas are evaluated by a boundary integral method at a micro-scale level, and viscoelastic analysis for laminated composite structures is performed by a finite element method at a macro-scale level using the effective viscoelastic properties of lamina obtained by the micro-scale analysis. In the multi-scale analysis, the Laplace transformation is adopted and the correspondence principle between elastic and viscoelastic solutions in the Laplace domain is applied. The inverse Laplace transform is formulated by the Duhamel integral, and is calculated numerically. As a numerical example, a laminated composite plate with a hole is treated and the viscoelastic behavior of the laminated composite structure is elucidated.

2016 ◽  
Vol 828 ◽  
pp. 51-63
Author(s):  
Steffen Czichon ◽  
Jessica Köhnke ◽  
Andreas Preisler ◽  
Henrik Herranen

This article provides an overview over some current challenges in industrial composite product development with a main focus on numerical analysis. Three main subjects are covered. Firstly, sizing of composite joining techniques is discussed with an emphasis on the joining of thin ply laminates. Secondly, multi scale analysis, determination of nesting factors and optimization of braided composite structures is discussed. Finally, a shape optimization approach for embedded SHM sensors, aiming at improving the mechanical properties of monitored laminates, is presented.


2016 ◽  
Vol 127 (1) ◽  
pp. 591-601 ◽  
Author(s):  
Spencer Kellis ◽  
Larry Sorensen ◽  
Felix Darvas ◽  
Conor Sayres ◽  
Kevin O’Neill ◽  
...  

Materials ◽  
2021 ◽  
Vol 14 (16) ◽  
pp. 4393
Author(s):  
Rui Zhou ◽  
Weicheng Gao ◽  
Wei Liu

A modified micromechanics failure criterion (MMF3) based multi-scale analysis strategy was proposed in this article to analyze the failure behaviors of the plain-woven fabric composites. The finite-element (FE) representative unit cell (RUC) models of different scales were first established, and the RUC based stress transformation methods were developed. The micro-scale strengths of the constituents in the unidirectional laminate were achieved based on the tested macro-scale strengths. Under the micro-scale strength invariance hypothesis, the meso-scale strengths of the fiber tows from the plain-woven fabric composites were back-calculated first and were then validated and corrected with the assistance of tested strengths of the fabric laminates. With the micro-scale RUC and the calculated meso-scale strengths of the fiber tows, the micro-scale strengths of the constituents suitable for the plain-woven fabric composites were determined. The multi-scale analysis procedure for the plain-woven fabric composites was then established in providing a more direct failure observation at the constituent level. Open-hole compression specimens were tested according to the ASTM standard D6484, and the failure of the open-hole fabric laminate was simulated with the proposed multi-scale strategy. The numerical predictions were in good agreement with the experimental results, and the feasibility of the multi-scale strategy was validated.


2016 ◽  
Vol 155 ◽  
pp. 197-212 ◽  
Author(s):  
X.-Y. Zhou ◽  
P.D. Gosling ◽  
Z. Ullah ◽  
Ł. Kaczmarczyk ◽  
C.J. Pearce

Author(s):  
S Masoumi ◽  
M Akhlaghi ◽  
M Salehi

Multi-scale analysis of laminated composite plates with viscoelastic–viscoplastic behavior of matrix is studied. Simplified unit cell method is developed to derive a new formulation for analysis of composite materials, including viscoelastic–viscoplastic matrix. The viscoelastic behavior of the matrix is modeled using Boltzmann superposition principle and the creep compliance is modeled using Prony series. Zapas–Crissman functional model is applied to obtain viscoplastic behavior of the matrix. In structural level, equations of equilibrium of laminated composite plate in terms of displacements have been derived using first order shear deformation theory with von Karman kinematic nonlinearity type. The nonlinear equations of equilibrium of plate are solved using generalized differential quadrature method. The details of the multi-scale analysis process have been discussed. Results include the effect of different parameters on creep behavior of composite materials in microscale and also micro-macro analysis.


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