Cover Image

Rate-form equilibrium for an isotropic Cauchy-elastic formulation: Part I: modeling

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Neff, Patrizio, Husemann, Nina J., Holthausen, Sebastian, Gmeineder, Franz, Blesgen, Thomas
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 74B20, 35A01
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Global existence and uniqueness of weak solutions for a Willis-type model of elastodynamics
by: Blesgen, Thomas, et al.
Published: (2025)

Major symmetry of the induced tangent stiffness tensor for the Zaremba-Jaumann rate and Kirchhoff stress in hyperelasticity: two different approaches
by: Federico, Salvatore, et al.
Published: (2024)

The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity
by: Neff, Patrizio, et al.
Published: (2024)

A constitutive condition for idealized isotropic Cauchy elasticity involving the logarithmic strain
by: d'Agostino, Marco Valerio, et al.
Published: (2024)

Testing Hooke-like isotropic hyper-/hypo-elastic material models under finite simple shear deformations
by: Korobeynikov, Sergey N., et al.
Published: (2026)

A global higher regularity result for the static relaxed micromorphic model on smooth domains
by: Knees, Dorothee, et al.
Published: (2023)

Two types of compressible isotropic neo-Hookean material models
by: Korobeynikov, Sergey N., et al.
Published: (2025)

Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain
by: Neff, Patrizio, et al.
Published: (2024)

Weak solutions to a model for phase separation coupled with finite-strain viscoelasticity subject to external distortion
by: Eiter, Thomas, et al.
Published: (2024)

An existence result for the fractional Kelvin-Voigt's model on time-dependent cracked domains
by: Caponi, Maicol, et al.
Published: (2020)

Solution concepts for a model of visco-elasto-plasticity with slight compressibility
by: Eiter, Thomas
Published: (2025)

Yet another best approximation isotropic elasticity tensor in plane strain
by: Voss, Jendrik, et al.
Published: (2024)

Global well-posedness of the elastic-viscous-plastic sea-ice model with the inviscid Voigt-regularisation
by: Boutros, Daniel W., et al.
Published: (2025)

On quasi-Minnaert resonances in elasticity and their applications to stress concentrations
by: Diao, Huaian, et al.
Published: (2025)

Long-time behavior of small solutions in the viscoelastic Klein-Gordon equation
by: Garénaux, Louis, et al.
Published: (2024)

A mathematical study of an elastic-viscous-plastic sea-ice model with the Kelvin-Voigt rheology
by: Boutros, Daniel W., et al.
Published: (2026)

Low-Mach-number--slenderness limit for elastic Cosserat rods
by: Baus, Franziska, et al.
Published: (2015)

Homogenization of a thin linear elastic plate reinforced with a periodic mosaic of small rigid plates
by: Chakrabortty, Amartya, et al.
Published: (2025)

Two-term spectral asymptotics in linear elasticity
by: Capoferri, Matteo, et al.
Published: (2022)

Asymptotic Limits for Strain-Gradient Viscoelasticity with Nonconvex Energy
by: AlNajjar, Aseel, et al.
Published: (2024)

The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture
by: Caponi, Maicol, et al.
Published: (2023)

Mathematical modelling and homogenization of thin fiber-reinforced hydrogels
by: Chakrabortty, Amartya, et al.
Published: (2025)

In search of constitutive conditions in isotropic hyperelasticity: polyconvexity versus true-stress-true-strain monotonicity
by: Wollner, Maximilian P., et al.
Published: (2025)

Global Well-Posedness of a Nonlinear Fokker-Planck Type Model of Grain Growth
by: Bayir, Batuhan, et al.
Published: (2025)

Global existence and uniqueness for Hibler's visco-plastic sea-ice model
by: Dingel, Stefan, et al.
Published: (2025)

Limiting Korn-Maxwell-Sobolev inequalities for general incompatibilities
by: Gmeineder, Franz, et al.
Published: (2024)

Explicit form of relaxation tensor for isotropic extended Burgers model and its spectral inversion
by: Deng, Youjun, et al.
Published: (2026)

A homogenization bending shell theory for multiscale materials from $3D$ nonlinear elasticity
by: Durante, Tiziana, et al.
Published: (2019)

Time-harmonic elastic scattering by unbounded deterministic and random rough surfaces in three dimensions
by: Hu, Guanghui, et al.
Published: (2024)

Strong stability and the Schiffer Conjecture for the fluid-elastic semigroup
by: Disser, Karoline
Published: (2025)

Thermoelastic plates with type I heat conduction with second gradient
by: Rivera, Jaime Muñoz, et al.
Published: (2025)

Local well-posedness of the equations governing the motion of a fluid-filled elastic solid
by: Mazzone, Giusy
Published: (2025)

The Biot stress -- right stretch relation for the compressible Neo-Hooke-Ciarlet-Geymonat model and Rivlin's cube problem
by: Ghiba, Ionel-Dumitrel, et al.
Published: (2024)

A phase field model of Cahn-Hilliard type for tumour growth with mechanical effects and damage
by: Cavalleri, Giulia
Published: (2024)

Quasiconvex relaxation of planar Biot-type energies and the role of determinant constraints
by: Martin, Robert J., et al.
Published: (2025)

Fluid-Structure interactions with Navier- and full-slip boundary conditions
by: Češík, Antonín, et al.
Published: (2026)

Global well-posedness and numerical justification of an effective micro-macro model for reactive transport in elastic perforated media
by: Knoch, Jonas, et al.
Published: (2024)

Local strong solutions in a quasilinear Moore-Gibson-Thompson type model for thermoviscoelastic evolution in a standard linear solid
by: Claes, Leander, et al.
Published: (2026)

A simple model for one-dimensional nonlinear thermoelasticity: Well-posedness in rough-data frameworks
by: Winkler, Michael
Published: (2026)

Global solutions and large time stabilization in a model for thermoacoustics in a standard linear solid
by: Black, Tobias, et al.
Published: (2026)