State-of-the-art review of computational static and dynamic behaviors of small-scaled functionally graded multilayer shallow arch structures from design to analysis

D Hurdoganoglu, B Safaei, S Sahmani… - … Methods in Engineering, 2024 - Springer
Functionally graded multilayer shallow arch structures have gained significant attention due
to their unique mechanical properties and potential applications. This review aims to provide …

Analytical disk–cylinder interaction potential laws for the computational modeling of adhesive, deformable (nano) fibers

MJ Grill, WA Wall, C Meier - International Journal of Solids and Structures, 2023 - Elsevier
The analysis of complex fibrous systems or materials on the micro-and nanoscale, which
have a high practical relevance for many technical or biological systems, requires accurate …

[HTML][HTML] Implementation and appraisal of stress recovery techniques for embedded finite elements with frictional contact

AN Granitzer, F Tschuchnigg, H Felic, P Bonnier… - Computers and …, 2024 - Elsevier
Due to their ability to analyse the behaviour of slender structures with reasonable accuracy
and moderate computational expense, embedded finite elements have attracted widespread …

A fully coupled regularized mortar‐type finite element approach for embedding one‐dimensional fibers into three‐dimensional fluid flow

N Hagmeyer, M Mayr, A Popp - International Journal for …, 2024 - Wiley Online Library
The present article proposes a partitioned Dirichlet‐Neumann algorithm, that allows to
address unique challenges arising from a novel mixed‐dimensional coupling of very slender …

Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus

A Sky, JS Hale, A Zilian, SPA Bordas, P Neff - Computer Methods in …, 2024 - Elsevier
We present an approach to the coupling of mixed-dimensional continua by employing the
mathematically enriched linear Cosserat micropolar model. The kinematical reduction of the …

The mechanics of embedded fiber networks

S Kakaletsis, E Lejeune, M Rausch - Journal of the Mechanics and Physics …, 2023 - Elsevier
Fiber networks underlie the mechanical behavior of a wide range of natural and engineered
materials. Interestingly, these networks are often embedded within amorphous matrices …

[HTML][HTML] An approximate block factorization preconditioner for mixed-dimensional beam-solid interaction

M Firmbach, I Steinbrecher, A Popp, M Mayr - Computer Methods in …, 2024 - Elsevier
This paper presents a scalable approximate block factorization preconditioner for mixed-
dimensional models in beam-solid interaction and their application in engineering. In …

Insight into numerical characteristics of embedded finite elements for pile‐type structures employing an enhanced formulation

AN Granitzer, F Tschuchnigg… - … Journal for Numerical …, 2024 - Wiley Online Library
A number of problems encountered in the field of computational geotechnics requires the
modelling of numerous pile‐type structures embedded in a three‐dimensional soil …

[HTML][HTML] Mathematical and numerical analysis of reduced order interface conditions and augmented finite elements for mixed dimensional problems

M Boulakia, C Grandmont, F Lespagnol… - Computers & Mathematics …, 2024 - Elsevier
In this paper, we are interested in the mathematical properties of methods based on a
fictitious domain approach combined with reduced-order interface coupling conditions …

Particle Swarm optimization of interface constitutive model parameters for embedded beam formulations

AN Granitzer, J Leo, F Tschuchnigg - International Journal of …, 2024 - ascelibrary.org
The numerical simulation of boundary value problems involving a high number of pile-type
structures, such as pile foundation systems of high-rise buildings, represents a standard task …