Shape preserving design of thermo-elastic structures considering geometrical nonlinearity

Abstract

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Topology optimization of thermo‐elastic structures with temperature‐dependent material properties under large temperature gradient

“…To deal with this issue, the continuation strategy was proposed and found to be effective. 17,31,56,57 In this work, the continuation scheme is applied to the penalty factors: Another advantage of the continuation strategy lies in that the structure can be prevented, to a certain extent, from undergoing unreasonably high temperature. For example, consider the case of uniformly initializing all design variables to the upper bound of the volume constraint in TO.…”

“…Unless otherwise stated, temperature‐dependent thermal conductivity is interpolated using the RAMP scheme in this work: $$$$ {\kappa}_i\left({T}_i\right)=\frac{{\overline{x}}_i}{1+{S}_{\upkappa}\left(1-{\overline{x}}_i\right)}{\kappa}^{(0)}\left({T}_i\right), $$$$ where S κ is the penalty factor for thermal conductivity. The coefficient of thermal expansion α i ( Ti ) is not interpolated since it does not change with $$$ {\overline{x}}_i $$$ 31 …”

“…When TDMPs are used, the nonlinearity of thermo‐elastic problem increases dramatically so that optimized results may prematurely get stuck in local optima. To deal with this issue, the continuation strategy was proposed and found to be effective 17,31,56,57 . In this work, the continuation scheme is applied to the penalty factors: (a) the initial values of p D , S D , and S κ are all set to be 1; (b) S D and S κ are updated every 10 iterations using S ( k +1) = 2 × S ( k ) and limited to a maximum value of $$$ {\overline{S}}_{\mathrm{D}}={\overline{S}}_{\upkappa}=32 $$$; (c) p D = 2 is imposed 10 iterations after S D reaches its maximum value; (d) S κ is updated 5 iterations after the change of S D to reduce the impact of parameter changes on the optimization process.…”

“…24,25 Similar works were focused on the stress design for thermo-elastic problems. [26][27][28][29][30] Recently, complicated problems including geometrical nonlinearity, 31 uncertainty, 32,33 buckling, 34,35 and transient problems 36 have been addressed. The level-set method was also extended to deal with thermo-elastic problems and has become popular in the past five years.…”

Topology Optimisation in Structural Steel Design for Additive Manufacturing

“…Multiphysics problems in optimisation are usually deemed to address thermal and mechanics conditions [521]. Recently, Cheng et al employed the Lattice Structure Topology Optimisation (LSTO) to design a cooling channel system [522] and Perumal et al found a technique to mitigate thermal accumulations by optimising lattice structures locally where such concentrations are more prone due to the metal AM process with a powder-bed fusion [523].…”