Estimation of slab surface radiative emissivities by solving an inverse coupled conduction, convection, and radiation problem

Cui, Miao; Zhou, Ling; Mei, Jianqin; Zhang, Bowen

doi:10.1080/10407782.2017.1394129

Cited by 13 publications

(1 citation statement)

References 37 publications

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“…In CVDM, the calculation of the first-order partial derivative is almost independent of the spatial step size, and close to the exact solution, when the spatial step size is very small. The CVDM is superior to the traditional difference method in terms of the accuracy of the first-order partial derivative (Cui et al, 2017). In CVDM, the complex variable Uþih replaces the variable U of a real function f(U), and the imaginary part h is very small.…”

Section: The Complex-variable-differentiation Methodsmentioning

confidence: 99%

Simultaneous identification of multi-parameter for power hardening elastoplastic problems in three-dimensional geometries

Zhang

Mei

Bai

et al. 2022

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PurposeThe purpose of this study is to simultaneously determine the constitutive parameters and boundary conditions by solving inverse mechanical problems of power hardening elastoplastic materials in three-dimensional geometries.Design/methodology/approachThe power hardening elastoplastic problem is solved by the complex variable finite element method in software ABAQUS, based on a three-dimensional complex stress element using user-defined element subroutine. The complex-variable-differentiation method is introduced and used to accurately calculate the sensitivity coefficients in the multiple parameters identification method, and the Levenberg–Marquardt algorithm is applied to carry out the inversion.FindingsNumerical results indicate that the complex variable finite element method has good performance for solving elastoplastic problems of three-dimensional geometries. The inversion method is effective and accurate for simultaneously identifying multi-parameters of power hardening elastoplastic problems in three-dimensional geometries, which could be employed for solving inverse elastoplastic problems in engineering applications.Originality/valueThe constitutive parameters and boundary conditions are simultaneously identified for power hardening elastoplastic problems in three-dimensional geometries, which is much challenging in practical applications. The numerical results show that the inversion method has high accuracy, good stability, and fast convergence speed.

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Section: The Complex-variable-differentiation Methodsmentioning

confidence: 99%