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Article History

Received: 24 September 2020

Revised: 1 April 2021

Accepted: 27 April 2021

First Online: 20 May 2021

Declarations

:

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

: ! Below is a pseudo code used to solve the numerical case studies in this paperPROGRAM MAIN! This function imports all user parametersCALL SUBROUTINE IMPORT_USER_PARAMETERS! Initialize design variables and optimization parametersCALL SUBROUTINE INITIALIZE! Main optimization loopDO I = 1, MAXITER! Start Optimization CPU timeCALL CPU_TIME( START )! Update material properties! uses SIMP equation to define the interpolated material tensorCALL SUBROUTINE UPDATE_MATERIAL_PROPERTIES! Run FEACALL SUBROUTINE RUN_FEA! Compute Objective Function and its SensitivitiesCALL SUBROUTINE OBJECTIVE_FUNCTION_SENSITIVITIES! Checkboard filterCALL SUBROUTINE CHECKBOARD_FILTER! Compute Constraint and SensitivitiesCALL SUBROUTINE CONSTRAINT_FUNCTION_SENSITIVITIES! MMA design variable updateCALL SUBROUTINE MMA_DESIGN_VARIABLE_UPDATE! Write results to ASCII files for usersCALL SUBROUTINE WRITE_RESULTS! Set design variables the updated value from MMACALL SUBROUTINE SET_DESIGN_VARIABLES! Check for convergenceCALL SUBROUTINE CONVERGENCE_CHECK! Exit if convergence is metIF(CONVERGENCE_TOLERANCE <= USERDEFINEDVALUE) EXIT! Finish Optimization CPU timeCALL CPU_TIME( FINISH )ENDDOEND PROGRAM MAIN