Variational Quantum Algorithms for Hyperelasticity: Incorporating Nonlinear Constitutive Behavior

Quantum Physics arXiv:2608.18363 (quant-ph) [Submitted on 18 Aug 2026] Title:Variational Quantum Algorithms for Hyperelasticity: Incorporating Nonlinear Constitutive Behavior Authors:Uditnarayan Kouskiya, Caglar Oskay View a PDF of the paper titled Variational Quantum Algorithms for Hyperelasticity: Incorporating Nonlinear Constitutive Behavior, by Uditnarayan Kouskiya and Caglar Oskay View PDF HTML (experimental) Abstract:This paper extends a recently proposed Variational Quantum Algorithm framework for nonlinear elasticity to a broader class of constitutive nonlinearities involving rational powers of the stretch. One-dimensional incompressible Ogden and Mooney-Rivlin models are employed as representative examples to demonstrate the proposed methodology. Nonlinear constitutive terms are transformed into forms compatible with the available quantum algorithmic primitives through the introduction of auxiliary variables and penalty constraints, yielding approximate solutions via a Variational Quantum Algorithm. An iterative correction strategy based on a sequence of Variational Quantum Algorithms is then introduced to improve solution accuracy. A Numerical example demonstrates the proposed approach. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2608.18363 [quant-ph] (or arXiv:2608.18363v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2608.18363 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Uditnarayan Kouskiya [view email] [v1] Tue, 18 Aug 2026 22:28:50 UTC (490 KB) Full-text links: Access Paper: View a PDF of the paper titled Variational Quantum Algorithms for Hyperelasticity: Incorporating Nonlinear Constitutive Behavior, by Uditnarayan Kouskiya and Caglar OskayView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-08 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)