핵심 개념
A novel hyperelastic third medium material model is proposed to enable concurrent modeling of pneumatic actuation and contact in computational analysis of metamaterials and soft robotic structures.
초록
The content presents a new computational approach for modeling pneumatically actuated metamaterials that exhibit internal contact. The key highlights are:
- Pneumatic actuation is represented exactly as a prescribed Cauchy stress in the material voids, improving on previous approximate methods.
- A third medium contact formulation is used, which avoids the need to explicitly define contact interfaces.
- The third medium model comprises three distinct energy terms: one for pneumatic actuation, one for contact enforcement, and one for regularization to stabilize the compliant third medium.
- The regularization term is based on penalizing material gradients of rotation and volume change, which improves the compliant behavior of the third medium compared to previous approaches.
- The proposed formulation is energetically consistent, enabling the use of advanced finite element solvers.
- The method is demonstrated on several numerical examples, including a patch test, a self-contact benchmark, and the simulation of a pneumatically actuated pattern-forming metamaterial, validating it against experimental data.
통계
The critical pressure difference leading to internal buckling of the pneumatically actuated metamaterial sample was experimentally measured as (∆p)crit = -8.45 kPa ± 0.3 kPa.
The corresponding critical pressure difference obtained in the numerical simulation was (∆p)crit = -8.96 kPa.
인용구
"A novel hyperelastic third medium material model is proposed to enable concurrent modeling of pneumatic actuation and contact in computational analysis of metamaterials and soft robotic structures."
"The regularization term is based on penalizing material gradients of rotation and volume change, which improves the compliant behavior of the third medium compared to previous approaches."
"The proposed formulation is energetically consistent, enabling the use of advanced finite element solvers."