Explicit topology optimization of nearly incompressible materials using polytopal composite elements

摘要: Abstract In this paper, an efficient explicit topology optimization approach to nearly incompressible materials was proposed. The crucial idea is based on a smooth projection of discrete moving morphable bars (MMBs) onto analytical grid polytopal composite finite elements (PCEs). PCEs, which are built with piecewise linear shape functions and assumed strain fields, aim mitigate the inherent volumetric locking issue accurately model materials. Unlike most existing techniques that use mixed displacement-pressure formulation conventional optimization, current method pure displacement only hundreds design variables. Numerical results demonstrated proposed works stably produces proper optimal designs structures without mesh-dependence while filtering or perimeter constraints not required. investigation promises potential for solving wide range problems.