Homogenisation Metamodelling of Perforated Plates

The use of finite element (FE)-based homogenisation has improved the study of composite material properties. However, it involves enormous computational effort when imple- mented in engineering design problems. Therefore an artificial neural network (ANN) surrogate model is proposed here to avoid this issue. In this study, a numerical homogenisation code was developed based on a commercial FE package. It is used to develop the ANN metamodel for an individual composite structure. The effectiveness of the metamodel was examined through an analytical optimisation procedure.

[1]  M. Bendsøe,et al.  Generating optimal topologies in structural design using a homogenization method , 1988 .

[2]  Noboru Kikuchi,et al.  Optimal shape and location of piezoelectric materials for topology optimization of flextensional actuators , 2001 .

[3]  Shigeyasu Nakanishi,et al.  An Experimental Study on Chaotic Behavior of Thermalhydraulic Oscillation in an Evaporating Tube. , 1995 .

[4]  Iku Kosaka,et al.  Homogenization-based analysis and design of composites , 1997 .

[5]  Ahmet S. Cakmak,et al.  Homogenization and effective elastoplasticity models for periodic composites , 1994 .

[6]  M. Holmes.  Introduction to Perturbation Methods , 1995 .

[7]  Denis Caillerie.  Homogenization in elasticity , 1987 .

[8]  T. Lévy,et al.  Application of the homogenization method to a suspension of fibres , 1994 .

[9]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[10]  S. Torquato,et al.  Design of smart composite materials using topology optimization , 1999 .

[11]  Keith Worden,et al.  Nonlinearity in Structural Dynamics , 2019 .

[12]  N. Kikuchi,et al.  Preprocessing and postprocessing for materials based on the homogenization method with adaptive fini , 1990 .

[13]  Noboru Kikuchi,et al.  Adaptive finite element methods for shape optimization of linearly elastic structures , 1986 .

[14]  Jeonghoon Yoo,et al.  Structural optimization in magnetic devices by the homogenization design method , 2000 .

[15]  J. Cole,et al.  Multiple Scale and Singular Perturbation Methods , 1996 .

[16]  Behrooz Hassani,et al.  Homogenization and Structural Topology Optimization , 1999 .

[17]  G. Tomlinson,et al.  Nonlinearity in Structural Dynamics: Detection, Identification and Modelling , 2000 .