TY - JOUR A1 - Dries, Fabian W. A1 - Wallmersperger, Thomas A1 - Kessler, Jörg T1 - Homogenization of plane ring mesh under static loading JF - Proceedings in applied mathematics and mechanics: PAMM N2 - Plane ring meshes can be produced in large dimensions for various applications, for example, in architecture or protective systems. The numerical simulation of all individual rings of ring meshes is very costly, which is why methods to abstract the structure have been sought in the past. In this paper, a method for determining the strain parameters of a representative ring mesh section under in‐plane tensile loads is presented. Methods of rigid body analysis and representative volume elements with periodic boundary conditions are used. Green Lagrangian strain tensors are determined for both an exemplary representative ring mesh section under different tensile load cases and an experimental ring mesh under one load case. The comparison of the Green Lagrangian strain tensors of the ring meshes between numerical simulations and experiments shows a very good agreement. UR - https://doi.org/10.1002/pamm.202300021 Y1 - 2023 UR - https://doi.org/10.1002/pamm.202300021 UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:573-56348 SN - 1617-7061 VL - 23 IS - 2 PB - Wiley CY - Weinheim ER - TY - JOUR A1 - Dries, Fabian W. A1 - Wallmersperger, Thomas A1 - Kessler, Jörg T1 - Deformation of planar ring mesh under static in-plane tensile loads JF - Acta Mechanica N2 - A ring mesh is a large-scale manufacturable structure with versatile applications in architecture and for protective systems. However, the static and dynamic numerical simulation of a large-scale ring mesh is a resource-intensive task due to the many nonlinear contact points between the individual rings. To characterize the rigid body behavior of the ring mesh, in this paper, a representative volume element is loaded under different in-plane directions. The Green-Lagrangian strain tensor components are obtained as a result. An implicit one-step algorithm is used for this dynamic relaxation issue, modified by the use of stiff springs. Static convergence positions of a representative volume element are determined in several multiaxial tensile directions. The obtained deformation parameters can be used to simulate large deformations of large-scaled ring meshes. UR - https://doi.org/10.1007/s00707-022-03393-2 Y1 - 2022 UR - https://doi.org/10.1007/s00707-022-03393-2 UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:573-33612 SN - 1619-6937 VL - 234 IS - 3 SP - 959 EP - 973 PB - Springer-Verlag GmbH Austria CY - Wien ER -