Shape optimization of hyperelastic structures subject to frictionless contact

• Published in: Computers & structures Vol. 301; no. C; p. 107426
• Main Authors: Sjövall, Filip, Wallin, Mathias, Tortorelli, Daniel A.
• Format: Journal Article
• Language: English
• Published: United Kingdom Elsevier Ltd 01.09.2024; Elsevier
• Subjects: Applied Mechanics; Engineering and Technology; Finite strain contact; Maskinteknik; Mechanical Engineering; Mortar methods; Shape optimization; Teknik; Teknisk mekanik; Mortar methods; Shape optimization; Finite strain contact
• ISSN: 0045-7949; 1879-2243; 1879-2243
• DOI: 10.1016/j.compstruc.2024.107426

This paper describes the shape optimization of hyperelastic structures exhibiting finite deformation and contact. The structure's shapes are parameterized with B-splines and the spline control point coordinates serve as the design variables. This design parametrization provides precise boundary representations and analytical sensitivity computations. To accommodate non-matching grids between the contacting bodies the mortar method is employed and, to hasten computations the accelerated Uzawa scheme is used to solve the displacement and contact pressure update equations. The formulation is used to optimize structures to achieve the desired mechanical response by exploiting both the non-linear hyperelastic material response and the contact phenomena. •An approach to Shape optimization of non-matching grids in the finite strain regime is presented.•B-splines are used to parameterize the design providing full analytical sensitivities.•The method is demonstrated in two examples where the mechanical response of contacting structures is tailored.