TY - JOUR
T1 - Probabilistic multiconstraints optimization of cooling channels in ceramic matrix composites
AU - Ghasemi, Hamid
AU - Kerfriden, Pierre
AU - Bordas, Stéphane P A
AU - Muthu, Jacob
AU - Zi, Goangseup
AU - Rabczuk, Timon
N1 - Funding Information:
2) the European Research Council Starting Independent Research Grant (ERC Stg grant agreement No. 279578 ) entitled “Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
Funding Information:
The first author gratefully acknowledges funding from Ernst Abbe foundation within Nachwuchsförderprogramm. Stéphane Bordas also thanks partial funding for his time provided by:
Funding Information:
Pierre Kerfriden thanks EPSRC funding under grant EP/J01947X/1 Towards rationalised computational expense for simulating fracture over multiple scales.
Funding Information:
1) the EPSRC under grant EP/G042705/1 Increased Reliability for Industrially Relevant Automatic Crack Growth Simulation with the eXtended Finite Element Method.
Publisher Copyright:
© 2015 Elsevier Ltd. All rights reserved.
PY - 2015/8/3
Y1 - 2015/8/3
N2 - This paper presents a computational reliable optimization approach for internal cooling channels in Ceramic Matrix Composite (CMC) under thermal and mechanical loadings. The algorithm finds the optimal cooling capacity of all channels (which directly minimizes the amount of coolant needed). In the first step, available uncertainties in the constituent material properties, the applied mechanical load, the heat flux and the heat convection coefficient are considered. Using the Reliability Based Design Optimization (RBDO) approach, the probabilistic constraints ensure the failure due to excessive temperature and deflection will not happen. The deterministic constraints restrict the capacity of any arbitrary cooling channel between two extreme limits. A "series system" reliability concept is adopted as a union of mechanical and thermal failure subsets. Having the results of the first step for CMC with uniformly distributed carbon (C-) fibers, the algorithm presents the optimal layout for distribution of the C-fibers inside the ceramic matrix in order to enhance the target reliability of the component. A sequential approach and B-spline finite elements have overcome the cumbersome computational burden. Numerical results demonstrate that if the mechanical loading dominates the thermal loading, C-fibers distribution can play a considerable role towards increasing the reliability of the design.
AB - This paper presents a computational reliable optimization approach for internal cooling channels in Ceramic Matrix Composite (CMC) under thermal and mechanical loadings. The algorithm finds the optimal cooling capacity of all channels (which directly minimizes the amount of coolant needed). In the first step, available uncertainties in the constituent material properties, the applied mechanical load, the heat flux and the heat convection coefficient are considered. Using the Reliability Based Design Optimization (RBDO) approach, the probabilistic constraints ensure the failure due to excessive temperature and deflection will not happen. The deterministic constraints restrict the capacity of any arbitrary cooling channel between two extreme limits. A "series system" reliability concept is adopted as a union of mechanical and thermal failure subsets. Having the results of the first step for CMC with uniformly distributed carbon (C-) fibers, the algorithm presents the optimal layout for distribution of the C-fibers inside the ceramic matrix in order to enhance the target reliability of the component. A sequential approach and B-spline finite elements have overcome the cumbersome computational burden. Numerical results demonstrate that if the mechanical loading dominates the thermal loading, C-fibers distribution can play a considerable role towards increasing the reliability of the design.
KW - A. Ceramic-matrix composites (CMCs)
KW - B. Thermomechanical
KW - C. Finite element analysis (FEA)
KW - C. Statistical properties/methods
KW - Optimization
UR - http://www.scopus.com/inward/record.url?scp=84938353062&partnerID=8YFLogxK
U2 - 10.1016/j.compositesb.2015.06.023
DO - 10.1016/j.compositesb.2015.06.023
M3 - Article
AN - SCOPUS:84938353062
VL - 81
SP - 107
EP - 119
JO - Composites Part B: Engineering
JF - Composites Part B: Engineering
SN - 1359-8368
ER -