Results 181 to 190 of about 1,099,998 (291)

Computing Bounds on the Eigenvalues of the Preconditioned X‐FFT System in 3D Linear Elastic Homogenization

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The previously introduced X‐FFT solver permits solving three‐dimensional linear elastic homogenization problems with high accuracy and efficiency. Due to the extended finite element discretization (X‐FEM), matrix‐inclusion problems may be approximated with the error convergence of interface‐conforming finite elements.
Flavia Gehrig, Matti Schneider
wiley   +1 more source

Study of Liquid Flow Through a Channel With Adjacent Porous Domains of Different Material Properties

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT A common subject in engineering disciplines is the study of flow in and around fractures or channels with adjacent porous domains. In this work, a unified approach based on the Theory of Porous Media (TPM) with an embedded Phase‐Field (PF) fracture model is used to investigate a flow scenario, where a channel separates two porous domains with ...
Yann Rivas   +5 more
wiley   +1 more source

Strain‐Space Hyperreduction Using Empirically Corrected Cluster Cubature With Linear and Quadratic Approximation Spaces

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Strain‐space reduced cubature techniques such as the Empirically Corrected Cluster Cubature (E3C) considerably reduce the integration effort incurred in computational homogenisation problems. In this work, we apply E3C in tandem with projection‐based model reduction techniques utilising both linear and quadratic approximation spaces.
Erik Faust, Dong Zhao, Lisa Scheunemann
wiley   +1 more source

Effective Crack Resistance of a Simplified Ductile Heterogeneous Material With Circular Inclusions

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT This contribution investigates the effective crack resistance obtained from a numerical crack‐growth experiment for a simplified two‐dimensional ductile heterogeneous material. The resolved microstructure contains circular inclusions. Their stiffness and fracture resistance are varied independently together with the ligament width between ...
Alexander Schlüter   +2 more
wiley   +1 more source

Finite Viscoelastic Modeling of Ice Shelves Using Glen's Flow Law and Depth‐Dependent Material Properties

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Ice shelves are floating seaward extensions of glaciers that form where land‐based ice flows into the ocean. Recent observations suggest that their mechanical behavior is suitably described by a viscoelastic Maxwell model, as this framework captures both the instantaneous elastic response and the time‐dependent viscous flow of ice.
Marvin Koßler   +4 more
wiley   +1 more source

LPV Updates for Sequentially Linearized Moving Horizon Estimation of Nonlinear Systems

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Moving horizon estimation (MHE) provides high‐precision state estimation for nonlinear systems, but it is often limited by the substantial computational demands of solving a nonlinear optimization problem at every sampling step. To address this issue, we develop an efficient MHE scheme based on linear parameter‐varying (LPV) formulation, where
Jiaxin Ji   +3 more
wiley   +1 more source

Fracture and Calving Front Evolution: A Case Study of Fimbul Ice Shelf, Antarctica

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT This study combines historical records, satellite remote sensing data, and inverse modelling to investigate crack formation and calving front evolution of the Fimbul Ice Shelf, Antarctica. Historical maps from the 1950s, together with satellite imagery from 1970s–2026, are used to reconstruct calving‐front positions and track the evolution of ...
Angelika Humbert   +9 more
wiley   +1 more source

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