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Related papers: Extremal Structures with Embedded Pre-Failure Indi…

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This study presents an extension of multiscale topology optimization by integrating both yield stress and local/global buckling considerations into the design process. Building upon established multiscale methodologies, we develop a new…

Computational Engineering, Finance, and Science · Computer Science 2025-05-08 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

This work presents a multilevel approach to large--scale topology optimization accounting for linearized buckling criteria. The method relies on the use of preconditioned iterative solvers for all the systems involved in the linear buckling…

Numerical Analysis · Mathematics 2020-03-03 Federico Ferrari , Ole Sigmund

From cell development to space rockets, the mechanical stability of thin shells is crucial across many industrial and natural processes. However, predicting shells' failure properties remains an open challenge, owing to their sensitivity to…

Much work has been done in topology optimization of multiscale structures for maximum stiffness or minimum compliance design. Such approaches date back to the original homogenization-based work by Bends{\o}e and Kikuchi from 1988, which…

Computational Engineering, Finance, and Science · Computer Science 2023-05-01 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

Maintaining stability in feedback systems, from aircraft and autonomous robots to biological and physiological systems, relies on monitoring their behavior and continuously adjusting their inputs. Incremental damage can make such control…

Structural crack detection is a critical task for public safety as it helps in preventing potential structural failures that could endanger lives. Manual detection by inexperienced personnel can be slow, inconsistent, and prone to human…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Subhasis Dasgupta , Jaydip Sen , Tuhina Halder

States of self-stress, tensions and compressions of structural elements that result in zero net forces, play an important role in determining the load-bearing ability of structures ranging from bridges to metamaterials with tunable…

Soft Condensed Matter · Physics 2015-08-06 Jayson Paulose , Anne S. Meeussen , Vincenzo Vitelli

An important task in structural design is to quantify the structural performance of an object under the external forces it may experience during its use. The problem proves to be computationally very challenging as the external forces'…

Machine Learning · Statistics 2018-10-26 Yining Wang , Erva Ulu , Aarti Singh , Levent Burak Kara

The ability to reliably predict critical transitions in dynamical systems is a long-standing goal of diverse scientific communities. Previous work focused on early warning signals related to local bifurcations (critical slowing down) and…

Adaptation and Self-Organizing Systems · Physics 2017-11-15 Rajat Karnatak , Holger Kantz , Stephan Bialonski

The mechanical properties of soft matter are of great importance in countless applications, in addition of being an active field of academic research. Given the relative ease with which soft materials can be deformed, their non-linear…

Soft Condensed Matter · Physics 2020-05-25 Luca Cipelletti , Kirsten Martens , Laurence Ramos

We review some features of topology optimization with a lower bound on the critical load factor, as computed by linearized buckling analysis. The change of the optimized design, the competition between stiffness and stability requirements…

Numerical Analysis · Mathematics 2018-09-25 Federico Ferrari , Ole Sigmund

Bolted joints are critical in engineering for maintaining structural integrity and reliability. Accurate prediction of parameters influencing their function and behavior is essential for optimal performance. Traditional methods often fail…

Machine Learning · Computer Science 2025-08-28 Ines Boujnah , Nehal Afifi , Andreas Wettstein , Sven Matthiesen

Near real-time damage diagnosis of building structures after extreme events (e.g., earthquakes) is of great importance in structural health monitoring. Unlike conventional methods that are usually time-consuming and require human expertise,…

Signal Processing · Electrical Eng. & Systems 2019-10-25 Seyed Omid Sajedi , Xiao Liang

Optimised lightweight structures, such as shallow domes and slender towers, are prone to sudden buckling failure because geometric uncertainties/imperfections can lead to a drastic reduction in their buckling loads. We introduce a framework…

Numerical Analysis · Mathematics 2025-10-28 Tianyi Liu , Xiao Xiao , Fehmi Cirak

The buckling instability of micro- and nanopillars can be an issue when designing intelligent miniaturized devices and characterizing composite materials reinforced with beam-like particles on the small-scale. Analytical modeling of the…

Soft Condensed Matter · Physics 2023-12-08 Hossein Darban , Raimondo Luciano , Michał Basista

This paper addresses testing of compressed structures, such as shells, that exhibit catastrophic buckling and notorious imperfection sensitivity. The central concept is the probing of a loaded structural specimen by a controlled lateral…

Soft Condensed Matter · Physics 2018-02-14 J. Michael T. Thompson , John W. Hutchinson , Jan Sieber

The research reveals the existence of a constant characteristic time of preparatory micro-structural processes before the onset of macro-failure at various high loading rates of brittle and quasi-brittle materials. The presence of this…

Materials Science · Physics 2023-01-23 Ivan Smirnov

The future behavioural fate of a forced nonlinear system can depend sensitively on the forcing profile as well as natural fluctuations within the system. This is especially the case for rate-induced tipping, where the forcing pushes the…

Dynamical Systems · Mathematics 2026-05-18 Paul D. L. Ritchie , Sneha Kachhara , Peter Ashwin

From soda cans to space rockets, thin-walled cylindrical shells are abundant, offering exceptional load carrying capacity at relatively low weight. However, the actual load at which any shell buckles and collapses is very sensitive to…

The lack of anomaly detection methods during mechanized tunnelling can cause financial loss and deficits in drilling time. On-site excavation requires hard obstacles to be recognized prior to drilling in order to avoid damaging the tunnel…

Signal Processing · Electrical Eng. & Systems 2024-01-22 Maximilian Trapp , Can Bogoclu , Tamara Nestorović , Dirk Roos
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