ArticleInternational journal of solids and structures2020
Size Effects in Random Fiber Networks Controlled by the Use of Generalized Boundary Conditions.
Article in International journal of solids and structures, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Breaking Stiffness-Tunability Trade-offs in Metamaterials: a Minimal Surface Guided Hybrid Lattice Strategy.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Failure mechanism in stochastic network materials: the competition between fiber and crosslink failure.International journal of solids and structures · 2025Article
- Random Fiber Network Loaded by a Point Force.Journal of applied mechanics · 2022Article
- Size Effects in Random Fiber Networks Controlled by the Use of Generalized Boundary Conditions.International journal of solids and structures · 2020Article
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Authors and funding
2 authors.
Funding
Abstract
Materials with a stochastic fiber network as the main structural constituent are broadly encountered in engineering and in biology. These materials are characterized by multiscale heterogeneity and hence their properties evaluated numerically or experimentally are generally dependent on the size of the sample considered. In this work we evaluate the size effect on the linear and non-linear mechanical response of three-dimensional stochastic fiber networks and determine its dependence on material parameters and on the degree of affinity of network deformation. The size effect is more pronounced in non-affine than in affine networks and decreases slowly when the model size increases. In order to eliminate this effect, models lager than can be effectively solved with current computers have to be considered. To address this issue, we propose a method that allows using relatively small models, while accurately predicting the small and large strain behaviors of the network. The method is based on the generalized boundary conditions introduced in (Glüge 2013, Computational Materials Science 79, 408-416), which are being adapted here to the requirements imposed by fibrous materials.
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