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Article History

Received: 4 May 2021

Revised: 20 October 2021

Accepted: 3 November 2021

First Online: 27 December 2021

Declarations

:

: The authors declare that they have no conflict of interest.

: There are four numerical examples presented in this paper. For the first example, the finite element model, the boundary conditions, mechanical loads, material properties and design nodes are described in full detail in Sect. . For the second to the fourth example, the finite element models in ABAQUS format are attached to this submission. At the same time, the boundary conditions, mechanical loads, material properties and design nodes are described respectively in Sect. , Sect.  and Sect.  in detail. To reproduce the results, the finite element analysis procedure is presented in Sect.  and the adjoint sensitivity analysis procedure is derived in Sect. . The authors wish to withhold the source code for commercialization purposes. This includes Python code implementing the finite strain elastoplastic analysis and adjoint sensitivity analysis.