1. Rate-form equilibrium for an isotropic Cauchy-elastic formulation: Part I: modeling
   2025/04/15 by Patrizio Neff, Neff, Patrizio, Nina J. Husemann +7 · 3 citations
   Engineering · Mathematics · #35A01 #74B20 #Analysis of PDEs (math.AP) #Elasticity and Material Modeling #FOS: Mathematics #Nonlinear Partial Differential Equations #Thermoelastic and Magnetoelastic Phenomena
2. Rigorous analysis of shape transitions in frustrated elastic ribbons
   2025/03/14 by Maor, Cy, Mora, Maria Giovanna · 4 citations
   #49J45 #53Z05 #74B20 #74K10 #74K20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
3. Input convex neural networks: universal approximation theorem and implementation for isotropic polyconvex hyperelastic energies
   2025/02/12 by Gian-Luca Geuken, Geuken, Gian-Luca, Patrick Kurzeja +5 · 6 citations
   Engineering · Physics and Astronomy · #68T07 #74B20 #Aeroelasticity and Vibration Control #Artificial Intelligence (cs.AI) #Computational Engineering #Elasticity and Material Modeling #FOS: Computer and information sciences #Finance #I.2.1 #J.2 #Model Reduction and Neural Networks #and Science (cs.CE)
4. Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain
   2024/09/30 by Neff, Patrizio, Holthausen, Sebastian, d'Agostino, Marco Valerio +4 · 1 citation
   #15A24 #73G05 #73G99 #74B20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
5. A natural requirement for objective corotational rates -- on structure preserving corotational rates
   2024/09/29 by Neff, Patrizio, Holthause, Sebastian, Korobeynikov, Sergey N. +2 · 2 citations
   #15A24 #73G05 #73G99 #74B20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
6. A constitutive condition for idealized isotropic Cauchy elasticity involving the logarithmic strain
   2024/09/03 by d'Agostino, Marco Valerio, Holthausen, Sebastian, Bernardini, Davide +4 · 3 citations
   #15A24 #73G05 #73G99 #74B20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
7. Time discretization in visco-elastodynamics at large displacements and strains in the Eulerian frame
   2024/07/26 by Tomáš Roubı́ček, Roubíček, Tomáš · 2 citations
   Computer Science · Engineering · #35Q74 #65M99 #74A30 #74B20 #74H20 #74S99 #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #Elasticity and Material Modeling #Elasticity and Wave Propagation #FOS: Mathematics
8. Best-in-class modeling: A novel strategy to discover constitutive models for soft matter systems
   2024/04/10 by Kevin Linka, Ellen Kuhl, Linka, Kevin +1 · 3 citations
   Materials Science · #68T07 #74-05 #74B20 #FOS: Physical sciences #J.2 #Machine Learning in Materials Science #Soft Condensed Matter (cond-mat.soft)
9. An existence result for accretive growth in elastic solids
   2024/03/13 by Elisa Davoli, Katerina Nik, Davoli, Elisa +5 · 2 citations
   Computer Science · Engineering · #49L25 #74B20 #74F99 #74G22 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations
10. Formulating and Heuristic Solving of Contact Problems in Hybrid Data-Driven Computational Mechanics
    2023/11/07 by Cristian Guillermo Gebhardt, Senta Lange, Gebhardt, Cristian Guillermo +3 · 1 citation
    Engineering · Physics and Astronomy · #74B20 #74M15 #90C30 #90C33 #90C59 #FOS: Mathematics #Gear and Bearing Dynamics Analysis #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Vehicle Dynamics and Control Systems
11. Korn and Poincaré-Korn inequalities: A different perspective
    2023/07/30 by Di Fratta, Giovanni, Solombrino, Francesco · 2 citations
    #46F10 #46N20 #5A23 #74B20 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts
    2023/04/24 by Malte Kampschulte, Kampschulte, Malte, Boris Muha +3 · 1 citation
    Computer Science · Engineering · Mathematics · #74B20 #74M15 (Secondary) #76F10 (Primary) #76N06 #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #Elasticity and Material Modeling #FOS: Mathematics #Navier-Stokes equation solutions
13. Characterization of polyconvex isotropic functions
    2023/04/17 by Wiedemann, David, Peter, Malte A. · 2 citations
    #49J10 #74B20 #74G65 #Analysis of PDEs (math.AP) #FOS: Mathematics
14. Minimizers of Nonlocal Polyconvex Energies in Nonlocal Hyperelasticity
    2022/11/04 by Bellido, José C., Cueto, Javier, Mora-Corral, Carlos · 1 citation
    #26A33 #49J45 #74A70 #74B20 #74G65 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
15. A nonlinear bending theory for nematic LCE plates
    2022/03/08 by Bartels, Sören, Griehl, Max, Neukamm, Stefan +2 · 3 citations
    #65N30 #74-10 #74B20 #74K20 #76A15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
16. On the lack of compactness in the axisymmetric neo-Hookean model
    2021/11/13 by Barchiesi, Marco, Henao, Duvan, Mora-Corral, Carlos +1 · 1 citation
    #49J45 #49Q20 #74B20 #74G22 #74G45 #74G65 #74G70 #Analysis of PDEs (math.AP) #FOS: Mathematics
17. Large Times Existence for Thin Vibrating Rods
    2021/09/23 by Abels, Helmut, Ameismeier, Tobias · 1 citation
    #35L20 #35L70 #74B20 #74K10 #Analysis of PDEs (math.AP) #FOS: Mathematics
18. Scaling of the elastic energy of small balls for maps between manifolds with different curvature tensors
    2021/03/29 by Krömer, Milan, Müller, Stefan · 1 citation
    #49J45 #74B20 #Analysis of PDEs (math.AP) #FOS: Mathematics
19. A variational approach to hyperbolic evolutions and fluid-structure interactions
    2020/08/11 by Benešová, Barbora, Kampschulte, Malte, Schwarzacher, Sebastian · 1 citation
    #35Q35 (Primary) 35Q30 #35Q74 #49J45 #49S05 #74B20 #74H20 #76D03 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics
20. Large Deflections of Inextensible Cantilevers: Modeling, Theory, and\n Simulation
    2019/10/15 by Maria Deliyianni, Deliyianni, Maria, Varun Gudibanda +5 · 1 citation
    Engineering · Materials Science · Mathematics · #35B65 #35L77 #37L05 #70J10 #74B20 #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlocal and gradient elasticity in micro/nano structures #Numerical methods for differential equations
21. The axiomatic introduction of arbitrary strain tensors by Hans Richter -- a commented translation of "Strain tensor, strain deviator and stress tensor for finite deformations"
    2019/09/13 by Neff, Patrizio, Graban, Kai, Schweickert, Eva +1 · 2 citations
    #01A75 #74B20 #FOS: Mathematics #History and Overview (math.HO)
22. Quasistatic viscoelasticity with self-contact at large strains
    2019/04/04 by Krömer, Stefan, Roubiček, Tomáš · 1 citation
    #35K86 #35Q74 #74A30 #74B20 #74M15 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
23. Derivation of a homogenized bending--torsion theory for rods with\n micro-heterogeneous prestrain
    2019/03/19 by Robert Bauer, Stefan Neukamm, Bauer, Robert +3 · 1 citation
    Engineering · #35B27 #74B20 #74K10 #74Q05 #Advanced Materials and Mechanics #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Analysis of PDEs (math.AP) #FOS: Mathematics #Structural Analysis and Optimization
24. Measure-valued solutions for the equations of polyconvex adiabatic thermoelasticity
    2018/08/25 by Christoforou, Cleopatra, Galanopoulou, Myrto, Tzavaras, Athanasios E. · 1 citation
    #35L65 #35Q74 (Primary) 35A02 #74B20 #74D10 #74H25 (Secondary) #80A17 #Analysis of PDEs (math.AP) #FOS: Mathematics
25. The Effect of Crystal Symmetries on the Locality of Screw Dislocation\n Cores
    2017/10/20 by Julian Braun, Braun, Julian, Maciej Buze +3 · 1 citation
    Engineering · Materials Science · #35Q74 #49N60 #70C20 #74B20 #74G10 #74G65 #Analysis of PDEs (math.AP) #FOS: Mathematics #High Temperature Alloys and Creep #Microstructure and Mechanical Properties of Steels #Microstructure and mechanical properties
26. A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Post-flutter Regimes
    2017/07/24 by Howell, Jason, Toundykov, Daniel, Webster, Justin T. · 1 citation
    #35B41 #37L05 #74B20 #74F10 #Analysis of PDEs (math.AP) #FOS: Mathematics
27. A Hybrid High-Order method for nonlinear elasticity
    2017/07/07 by Botti, Michele, Di Pietro, Daniele, Sochala, Pierre · 1 citation
    #65N08 #65N30 #74B20 #74S05 #FOS: Mathematics #Numerical Analysis (math.NA)
28. A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes
    2017/05/23 by Nedjar, Boumediene, Baaser, Herbert, Martin, Robert J. +1 · 1 citation
    #65-04 #65N30 #74B20 #FOS: Mathematics #Numerical Analysis (math.NA)
29. On global and local minimizers of prestrained thin elastic rods
    2016/06/14 by Cicalese, Marco, Ruf, Matthias, Solombrino, Francesco · 2 citations
    #49J45 (Primary) #74B20 #74K10 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics
30. Shape programming for narrow ribbons of nematic elastomers
    2016/03/07 by Agostiniani, Virginia, DeSimone, Antonio, Koumatos, Konstantinos · 1 citation
    #74B20 #74K10 #74K20 #76A15 #Analysis of PDEs (math.AP) #FOS: Mathematics

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