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Understanding the fracture mechanics of soft solids remains a fundamental challenge due to their complex, nonlinear responses under large deformations. While multiaxial loading is key to probing their mechanical behavior, the role of such…

Soft Condensed Matter · Physics 2025-09-04 Miguel Angel Moreno-Mateos , Simon Wiesheier , Ali Esmaeili , Mokarram Hossain , Paul Steinmann

The mathematical formulation of constitutive models to describe the path-dependent, i.e., inelastic, behavior of materials is a challenging task and has been a focus in mechanics research for several decades. There have been increased…

Computational Engineering, Finance, and Science · Computer Science 2023-09-06 Max Rosenkranz , Karl A. Kalina , Jörg Brummund , Markus Kästner

Shape memory alloys are remarkable 'smart' materials used in a broad spectrum of applications, ranging from aerospace to robotics, thanks to their unique thermomechanical coupling capabilities. Given the complex properties of shape memory…

Computational Engineering, Finance, and Science · Computer Science 2024-02-19 C. Erdogan , T. Bode , P. Junker

The paper is devoted to the elastostatic calibration of industrial robots, which is used for precise machining of large-dimensional parts made of composite materials. In this technological process, the interaction between the robot and the…

Robotics · Computer Science 2012-11-28 Alexandr Klimchik , Anatol Pashkevich , Yier Wu , Stéphane Caro , Benoît Furet

Science-based simulation tools such as Finite Element (FE) models are routinely used in scientific and engineering applications. While their success is strongly dependent on our understanding of underlying governing physical laws, they…

Machine Learning · Computer Science 2021-03-31 Navid Zobeiry , Anoush Poursartip

Material extrusion is one of the most commonly used approaches within the additive manufacturing processes available. Despite its popularity and related technical advancements, process reliability and quality assurance remain only partially…

Machine Learning · Computer Science 2024-06-21 Fátima García-Martínez , Diego Carou , Francisco de Arriba-Pérez , Silvia García-Méndez

Turbulence remains one of the last unresolved problems of classical physics and a major bottleneck to accurate flow prediction in climate, aerospace, and energy systems. Industrial simulations therefore rely on averaged representations of…

Fluid Dynamics · Physics 2026-05-18 Zhuoran Liu , Haochen Wang , Zhuolin Zhao , Heng Xiao

We propose a new method for modelling simple longitudinal data. We aim to do this in a flexible manner (without restrictive assumptions about the shapes of individual trajectories), while exploiting structural similarities between the…

Methodology · Statistics 2024-09-24 Helen Ogden

All solids yield under sufficiently high mechanical loads. Below yield, the mechanical responses of all disordered solids are nearly alike, but above yield every different disordered solid responds in its own way. Brittle systems can…

In recent years, significant advancements have been made in computational methods for analyzing masonry structures. Within the Finite Element Method, two primary approaches have gained traction: Micro and Macro Scale modeling, and their…

Computational Engineering, Finance, and Science · Computer Science 2024-09-02 Alejandro Cornejo , Philip Kalkbrenner , Riccardo Rossi , Luca Pelà

Complex systems are often decomposed into modular subsystems for engineering tractability. Although various equation based white-box modeling techniques make use of such structure, learning based methods have yet to incorporate these ideas…

Machine Learning · Computer Science 2022-10-31 Jayesh K. Gupta , Sai Vemprala , Ashish Kapoor

Mixtures of linear dynamical systems (MoLDS) provide a path to model time-series data that exhibit diverse temporal dynamics across trajectories. However, its application remains challenging in complex and noisy settings, limiting its…

Machine Learning · Computer Science 2026-03-02 Lulu Gong , Shreya Saxena

In this work, we bridge standard adaptive mesh refinement and coarsening on scalable octree background meshes and robust unfitted finite element formulations for the automatic and efficient solution of large-scale nonlinear solid mechanics…

Numerical Analysis · Mathematics 2021-09-01 Santiago Badia , Manuel Caicedo , Alberto F. Martín , Javier Principe

Machine-learning function representations such as neural networks have proven to be excellent constructs for constitutive modeling due to their flexibility to represent highly nonlinear data and their ability to incorporate constitutive…

Soft Condensed Matter · Physics 2024-04-25 Jan N. Fuhg , Asghar Jadoon , Oliver Weeger , D. Thomas Seidl , Reese E. Jones

Driven by the need to accelerate numerical simulations, the use of machine learning techniques is rapidly growing in the field of computational solid mechanics. Their application is especially advantageous in concurrent multiscale finite…

Numerical Analysis · Mathematics 2023-03-22 M. A. Maia , I. B. C. M. Rocha , P. Kerfriden , F. P. van der Meer

Characterization and modeling of path-dependent behaviors of complex materials by phenomenological models remains challenging due to difficulties in formulating mathematical expressions and internal state variables (ISVs) governing…

Numerical Analysis · Mathematics 2022-08-23 Xiaolong He , Jiun-Shyan Chen

Liquid metals (LM) are embedded in an elastomer matrix to obtain soft composites with unique thermal, dielectric, and mechanical properties. They have applications in soft robotics, biomedical engineering, and wearable electronics. By…

Materials Science · Physics 2025-07-25 Abhijith Thoopul Anantharanga , Mohammad Saber Hashemi , Azadeh Sheidaei

Deformations of conventional solids are described via elasticity, a classical field theory whose form is constrained by translational and rotational symmetries. However, flexible metamaterials often contain an additional approximate…

Soft Condensed Matter · Physics 2022-02-02 Michael Czajkowski , Corentin Coulais , Martin van Hecke , D. Zeb Rocklin

Rigid bodies, plastic impact, persistent contact, Coulomb friction, and massless limbs are ubiquitous simplifications introduced to reduce the complexity of mechanics models despite the obvious physical inaccuracies that each incurs…

Robotics · Computer Science 2020-07-31 Aaron M. Johnson , Samuel A. Burden , Daniel E. Koditschek

Honeycomb-like microstructures have been shown to exhibit local elastic buckling under compression, with three possible geometric buckling modes, or pattern transformations. The individual pattern transformations, and consequently also…

Soft Condensed Matter · Physics 2020-04-14 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers