ArticleScientific reports2020
A new nonlinear viscoelastic model and mathematical solution of solids for improving prediction accuracy.
Article in Scientific reports, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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Who cites it
11 citing papers in PubMed.
- Mechanical Signatures of Tibiofemoral Cartilage Degeneration Identified by Unconfined Compression Testing: Implications for Early Osteoarthritis Risk in Athletes.Medicina (Kaunas, Lithuania) · 2026Article
- Evaluating Parameter Value Identification Methods for Modeling of Nonlinear Stress Relaxation in Polyethylene.Materials (Basel, Switzerland) · 2025Article
- Simulation and Analysis of the Loading, Relaxation, and Recovery Behavior of Polyethylene and Its Pipes.Polymers · 2024Article
- Application of Numerical Modeling and Finite Element Analysis in Fused Filament Fabrication: A Review.Materials (Basel, Switzerland) · 2024Review
- Simulation of Starch Gel Printing and Deformation Process Using COMSOL.Foods (Basel, Switzerland) · 2024Article
- Stress and Strain Characteristics under the Large Deformation of Surimi Gel during Penetration and Extension Tests Using Digital Image Correlation and the Numerical Simulation Method.Gels (Basel, Switzerland) · 2022Article
- Estimation of Tensile Modulus of a Thermoplastic Material from Dynamic Mechanical Analysis: Application to Polyamide 66.Polymers · 2022Article
- Viscoelastic analysis of mussel threads reveals energy dissipative mechanisms.Journal of the Royal Society, Interface · 2022Article
- Fast-Acquiring High-Quality Prony Series Parameters of Asphalt Concrete through Viscoelastic Continuous Spectral Models.Materials (Basel, Switzerland) · 2022Article
- Viscoelasticity, Like Forces, Plays a Role in Mechanotransduction.Frontiers in cell and developmental biology · 2022Review
- Viscoelasticity Acts as a Marker for Tumor Extracellular Matrix Characteristics.Frontiers in cell and developmental biology · 2021Review
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We developed an innovative material nonlinear viscoelastic model with physical mechanism and mathematical solution to improve existing ones. The relaxation modulus transits from the glassy stage to the rubbery stage through a time-dependent viscosity in a continuous spectrum considering the nonlinear strain hardening. Experimental results of differential solid materials including asphalt concrete, agarose gel, vaginal tissue, polymer, agar, bone, spider silk, and hydrogel demonstrate that the developed model is superior to generalized Maxwell model or Prony series for more accurate prediction outside of the range for data fitting while using much less model parameters. Numerical simulation results indicate that the new model has improved accuracy. It is stable numerically, and does not reduce computation speed. Therefore, the model may be used to simulate a broad range of viscoelastic solids for predicting experimental data and responses with improved accuracy.
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Registered trials
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