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We extend the model-free Data-Driven computing paradigm to solids and structures that are stochastic due to intrinsic randomness in the material behavior. The behavior of such materials is characterized by a likelihood measure instead of a…

Computational Engineering, Finance, and Science · Computer Science 2022-11-23 Erik Prume , Stefanie Reese , Michael Ortiz

Learning controllable and generalizable representation of multivariate data with desired structural properties remains a fundamental problem in machine learning. In this paper, we present a novel framework for learning generative models…

Machine Learning · Computer Science 2020-10-05 Ruixiang Zhang , Masanori Koyama , Katsuhiko Ishiguro

Data-driven constitutive modeling with neural networks has received increased interest in recent years due to its ability to easily incorporate physical and mechanistic constraints and to overcome the challenging and time-consuming task of…

Computational Engineering, Finance, and Science · Computer Science 2023-10-06 Jan N. Fuhg , Reese E. Jones , Nikolaos Bouklas

Machine learning offers an intriguing alternative to first-principles analysis for discovering new physics from experimental data. However, to date, purely data-driven methods have only proven successful in uncovering physical laws…

In this work, we characterized the material properties of an animal model of the rotator cuff tendon using full volume datasets of both its intact and injured states by capturing internal strain behavior throughout the tendon. Our…

We propose a physics informed, neural network-based elasto-viscoplasticity (NN-EVP) constitutive modeling framework for predicting the flow response in metals as a function of underlying grain size. The developed NN-EVP algorithm is based…

Computational Engineering, Finance, and Science · Computer Science 2023-07-11 Adnan Eghtesad , Jan Niklas Fuhg , Nikolaos Bouklas

In this article, an original data-driven approach is proposed to detect both linear and nonlinear damage in structures using output-only responses. The method deploys variational mode decomposition (VMD) and a generalised autoregressive…

Computer Vision and Pattern Recognition · Computer Science 2022-01-31 Vahid Reza Gharehbaghi , Hashem Kalbkhani , Ehsan Noroozinejad Farsangi , T. Y. Yang , Seyedali Mirjalili

This paper presents an integrated model-free data-driven approach to solid mechanics, allowing to perform numerical simulations on structures on the basis of measures of displacement fields on representative samples, without postulating a…

Computational Engineering, Finance, and Science · Computer Science 2019-06-20 Laurent Stainier , Adrien Leygue , Michael Ortiz

A new model is presented to predict hydrogen-assisted fatigue. The model combines a phase field description of fracture and fatigue, stress-assisted hydrogen diffusion, and a toughness degradation formulation with cyclic and hydrogen…

Computational Engineering, Finance, and Science · Computer Science 2024-05-21 C. Cui , P. Bortot , M. Ortolani , E. Martínez-Pañeda

The heterogeneous micromechanical properties of biological tissues have profound implications across diverse medical and engineering domains. However, identifying full-field heterogeneous elastic properties of soft materials using…

Numerical Analysis · Mathematics 2025-07-09 Wensi Wu , Mitchell Daneker , Kevin T. Turner , Matthew A. Jolley , Lu Lu

If a porous media is being damaged by excessive stress, the elastic matrix at every infinitesimal volume separates into a 'solid' and a 'broken' component. The 'solid' part is the one that is capable of transferring stress, whereas the…

Fluid Dynamics · Physics 2023-05-09 François Gay-Balmaz , Vakhtang Putkaradze

A field theory is presented for predicting damage and fracture in quasi brittle materials incorporating effects of irreversible (plastic) deformation as well as elastic moduli that soften with damage. The new observation made here is that…

Materials Science · Physics 2026-03-17 Hayden Bromley , Robert Lipton

Classically, the constitutive behavior of materials is described either phenomenologically, or by homogenization approaches. Phenomenological approaches are computationally very efficient, but are limited for complex non-linear and…

Computational Physics · Physics 2020-01-28 Christoph Settgast , Geralf Hütter , Meinhard Kuna , Martin Abendroth

It is challenging to perform system identification on soft robots due to their underactuated, high-dimensional dynamics. In this work, we present a data-driven modeling framework, based on geometric mechanics (also known as gauge theory)…

Finite element model updating utilizing frequency response functions as inputs is an important procedure in structural analysis, design and control. This paper presents a highly efficient framework that is built upon Gaussian process…

Computational Engineering, Finance, and Science · Computer Science 2020-08-26 Kai Zhou , Jiong Tang

We introduce a physics-informed neural framework for modeling static and time-dependent galactic gravitational potentials. The method combines data-driven learning with embedded physical constraints to capture complex, small-scale features…

Astrophysics of Galaxies · Physics 2026-04-02 Charlotte Myers , Nathaniel Starkman , Lina Necib

In this work, a Gaussian process regression(GPR) model incorporated with given physical information in partial differential equations(PDEs) is developed: physics-assisted Gaussian processes(PAGP). The targets of this model can be divided…

Machine Learning · Statistics 2022-04-07 Jiahao Zhang , Shiqi Zhang , Guang Lin

This work proposes a physics-informed deep learning (PIDL)-based constitutive model for investigating the viscoelastic-viscoplastic behavior of short fiber-reinforced nanoparticle-filled epoxies under various ambient conditions. The…

Machine Learning · Computer Science 2024-03-28 Betim Bahtiri , Behrouz Arash , Sven Scheffler , Maximilian Jux , Raimund Rolfes

Accurate prediction of fracture toughness under complex loading conditions, like mixed mode I/II, is essential for reliable failure assessment. This paper aims to develop a machine learning framework for predicting fracture toughness and…

Computational Physics · Physics 2025-03-04 Amir Mohammad Mirzaei

We develop a data-driven framework for discovering constitutive relations in models of fluid flow and scalar transport. Under the assumption that velocity and/or scalar fields are measured, our approach infers unknown closure terms in the…

Fluid Dynamics · Physics 2026-01-01 Suguru Shiratori , Elham Kiyani , Khemraj Shukla , George Em Karniadakis
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