Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
October 23, 2025ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Stability of a dynamic frictionless contact problem for viscoelastic materials with rigid‐plastic foundation and long‐term memory

View Full Paper
Ask AI
Bookmark
Share

Authors

HKHoud KhireddineBBBenyattou BenabderrahmaneIOImane Ouakil

Discussion

Loading...

Member takes

Overview

This analysis reveals global existence and unique solutions in viscoelastic materials, suggesting the effectiveness of employing variational formulation methods.

Key Points

  • Exponential energy decay is established through application of the multiplier method, demonstrating important temporal dynamics.
  • Global existence and uniqueness are proven under conditions specific to viscoelastic materials and nonlinear laws.
  • The proof utilizes crucial mathematical frameworks such as evolutionary variational inequalities and the Banach fixed point theorem.
  • Long-term memory plays a key role in the nonlinear constitutive law, impacting the model's behavior and stability.

Cite This Study

Khireddine et al. (2025) studied this question.

synapsesocial.com/papers/68f9bad7d7353cfcfc68f582https://doi.org/10.1002/zamm.70260
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Exponential stabilization of a dynamic frictional contact problem for viscoelastic materials with normal damped response and infinite memory2024 · 4 citations
  2. 2Analysis of a dynamic contact problem with long memory2024 · 1 citations
  3. 3A quasistatic electro-elastic contact problem with long memory and slip dependent coefficient of friction2024
  4. 4Semigroup well-posedness and exponential decay of a viscoelastic bilateral contact model with Tresca’s law and infinite memory2026
  5. 5A doubly history‐dependent quasivariational inequality arising in viscoelastic frictional contact problems with wear2024 · 3 citations