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Stress-strain curves, or more generally, stress functions, are an extremely important characterization of a material's mechanical properties. However, stress functions are often difficult to derive and are narrowly tailored to a specific…

Materials Science · Physics 2023-12-21 Garrett Blum , Ryan Doris , Diego Klabjan , Horacio Espinosa , Ron Szalkowski

The iterative nature of topology optimization, especially in combination with nonlinear state problems, often requires the solution of thousands of linear equation systems. Furthermore, due to the pixelated design representation, the use of…

Computational Engineering, Finance, and Science · Computer Science 2025-07-22 Gabriel Stankiewicz , Chaitanya Dev , Paul Steinmann

We develop a new neural network architecture that strictly enforces constitutive constraints such as polyconvexity, frame-indifference, and the symmetry of the stress and material stiffness. Additionally, we show that the accuracy of the…

Biological Physics · Physics 2024-12-05 Nishan Parvez , Jacob S. Merson

Constitutive modeling lies at the core of mechanics, allowing us to map strains onto stresses for a material in a given mechanical setting. Historically, researchers relied on phenomenological modeling where simple mathematical…

Computational Engineering, Finance, and Science · Computer Science 2024-08-28 Asghar A. Jadoon , Knut A. Meyer , Jan N. Fuhg

In the fiber melt spinning of semi-crystalline polymers, the degree of crystallization can be non-homogeneous over the cross-section of the fiber, affecting the properties of the end product. For simulation-based process design, the…

Fluid Dynamics · Physics 2024-07-12 Manuel Ettmüller , Walter Arne , Nicole Marheineke , Raimund Wegener

The paper presents an innovative methodology based on the use of a new predictive algorithm created by the researchers capable of obtaining the elastic modulus of a plastic material manufactured with MEX and its mechanical behaviour in the…

Computational Engineering, Finance, and Science · Computer Science 2025-08-20 J. M. Mercado Colmenero , C. Martin Donate

Four-dimensional (4D) printing, a new technology emerged from additive manufacturing (3D printing), is widely known for its capability of programming post-fabrication shape-changing into artifacts. Fused deposition modeling (FDM)-based 4D…

Computational Geometry · Computer Science 2020-11-10 Yuxuan Yu , Haolin Liu , Kuanren Qian , Humphrey Yang , Matthew McGehee , Jianzhe Gu , Danli Luo , Lining Yao , Yongjie Jessica Zhang

This work develops a polygonal finite element method (PFEM) for the analysis of steady-state and transient thermal stresses in two dimensional continua. The method employs Wachspress rational basis functions to construct conforming…

Numerical Analysis · Mathematics 2025-04-23 Yang Yang , Mingjiao Yan , Zongliang Zhang , Dengmiao Hao , Xuedong Chen , Weixiong Chen

Long-span bridges are subjected to a multitude of dynamic excitations during their lifespan. To account for their effects on the structural system, several load models are used during design to simulate the conditions the structure is…

Machine Learning · Computer Science 2023-08-21 Gledson Rodrigo Tondo , Igor Kavrakov , Guido Morgenthal

Phenotyping is the process of distinguishing groups of patients to identify different types of disease progression. A recent trend employs low-rank matrix and tensor factorization methods for their capability of dealing with multi-modal,…

Machine Learning · Computer Science 2025-06-26 Cristian Minoccheri , Sophia Tesic , Kayvan Najarian , Ryan Stidham

Automated feature engineering (AFE) enables AI systems to autonomously construct high-utility representations from raw tabular data. However, existing AFE methods rely on statistical heuristics, yielding brittle features that fail under…

Artificial Intelligence · Computer Science 2026-02-19 Arun Vignesh Malarkkan , Wangyang Ying , Yanjie Fu

It is important to accurately model materials' properties at lower length scales (micro-level) while translating the effects to the components and/or system level (macro-level) can significantly reduce the amount of experimentation required…

Computers and Society · Computer Science 2022-11-08 Kazuma Kobayashi , Shoaib Usman , Carlos Castano , Dinesh Kumar , Syed Alam

The quasistatic rate-independent damage combined with linearized plasticity with hardening at small strains is investigated. The fractional-step time discretisation is devised with the purpose to obtain a numerically efficient scheme…

Numerical Analysis · Mathematics 2015-06-05 Tomáš Roubíček , Jan Valdman

We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecular dynamics simulations and apply the Irving-Kirkwood formula…

Numerical Analysis · Mathematics 2026-05-25 Ranajay Datta , Mária Lukáčová-Medviďová , Andreas Schömer , Peter Virnau

Direct numerical simulation of hierarchical materials via homogenization-based concurrent multiscale models poses critical challenges for 3D large scale engineering applications, as the computation of highly nonlinear and path-dependent…

Computational Engineering, Finance, and Science · Computer Science 2022-12-29 Shiguang Deng

The computer-assisted modeling of re-entrant production lines, and, in particular, simulation scalability, is attracting a lot of attention due to the importance of such lines in semiconductor manufacturing. Re-entrant flows lead to…

Dynamical Systems · Mathematics 2009-11-11 Y. Zou , I. G. Kevrekidis , D. Armbruster

Reinforcement learning offers a promising approach for scan-order optimisation in laser additive manufacturing, where sequential scan decisions critically influence thermal accumulation, residual stress, distortion, and final part quality.…

Machine Learning · Computer Science 2026-05-26 Xian Wu , Haoran Li , Dongbin Zhao , Ruiyao Zhang , Yuanqi Chu , Bin Wang

A novel data-driven constitutive modeling approach is proposed, which combines the physics-informed nature of modeling based on continuum thermodynamics with the benefits of machine learning. This approach is demonstrated on…

Computational Engineering, Finance, and Science · Computer Science 2023-04-28 Kshitiz Upadhyay , Jan N. Fuhg , Nikolaos Bouklas , K. T. Ramesh

In a companion article (Part 1), we presented the development of a thick continuum-based (CB) shell finite element (FE) based on Mindlin-Reissner theory. We verified the accuracy, efficiency and locking insensitivity of the element in…

Numerical Analysis · Mathematics 2018-01-15 Bahareh Momenan , Michel R. Labrosse

A time-dependent modeling framework for autogenous self-healing concrete that couples moisture diffusion with damage evolution was developed. Water transport follows Fick's second law with a damage-dependent diffusivity obtained by…

Computational Engineering, Finance, and Science · Computer Science 2026-03-17 William Liu
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