3 years ago
Topology optimization with incompressible materials under small and finite deformations using mixed u/p elements
This paper focuses on topology optimization utilizing incompressible materials under
both small‐ and finite‐deformation kinematics. To avoid the volumetric locking that
accompanies incompressibility, linear and nonlinear mixed displacement/pressure (u/p)
elements are utilized. A number of material interpolation schemes are compared, and
a new scheme interpolating both Young's modulus and Poisson's ratio (E‐ν interpolation) is proposed. The efficacy of this proposed scheme is demonstrated
on a number of examples under both small‐ and finite‐deformation kinematics. Excessive
mesh distortions that may occur under finite deformations are dealt with by extending
a linear energy interpolation approach to the nonlinear u/p formulation and utilizing
an adaptive update strategy. The proposed optimization framework is demonstrated to
be effective through a number of representative examples.
Publisher URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5834
DOI: 10.1002/nme.5834
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