Modeling the creep of polymer-based nanocomposites by using an alternative nonlinear optimization approach

Viktorova, Irina; Dandurand, Brian; Alekseeva, S. I.; Fronya, M. A.

doi:10.1007/s11029-013-9313-y

Cited by 5 publications

(4 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The remainder of the paper is organized as follows. From the developments in Section 2, a more simple and improved implementation of a previous application [5] becomes evident, and this is presented in Section 3. Computational setup and results are presented and discussed briefly in this same section.…”

Section: Introductionmentioning

confidence: 99%

“…is fit to observations based on experiments performed for three types of composites with nanofillers[5]:1) Pure polyamide (PA).…”

mentioning

confidence: 99%

“…least squares parameter estimation problems introduced in[1] [3], applied in[5] [8], and formulated using the alternative norm , is analyzed in terms of norm equivalence, and in exploring this equivalence, the existence of the necessary upper bound coefficient ,0 u u < < ∞ was shown to exist in Section 2 using the two inner product structures (2) and(3) defined on X. However, the non-existence of the corresponding lower bound coefficient ,0u < <   , isdemonstrated through two counterexamples.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Mathematical Analysis of Two Approaches for Optimal Parameter Estimates to Modeling Time Dependent Properties of Viscoelastic Materials

Viktorova¹,

Alekseeva²,

Kose³

2022

View full text Add to dashboard Cite

Mathematical models for phenomena in the physical sciences are typically parameter-dependent, and the estimation of parameters that optimally model the trends suggested by experimental observation depends on how model-observation discrepancies are quantified. Commonly used parameter estimation techniques based on least-squares minimization of the model-observation discrepancies assume that the discrepancies are quantified with the L 2 -norm applied to a discrepancy function. While techniques based on such an assumption work well for many applications, other applications are better suited for least-squared minimization approaches that are based on other norm or inner-product induced topologies. Motivated by an application in the material sciences, the new alternative least-squares approach is defined and an insightful analytical comparison with a baseline least-squares approach is provided.

show abstract

Section: Introductionmentioning

confidence: 99%

“…is fit to observations based on experiments performed for three types of composites with nanofillers[5]:1) Pure polyamide (PA).…”

mentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Mathematical Analysis of Two Approaches for Optimal Parameter Estimates to Modeling Time Dependent Properties of Viscoelastic Materials

Viktorova¹,

Alekseeva²,

Kose³

2022

View full text Add to dashboard Cite

show abstract

“…Several numerical calculations including various models were carried out using these two meshes. The material used is a composite with carbon fiber and epoxy 914 [Viktorova et al (2013); Varna and Talreja (2012)]. These composite specimens were subjected to uniform tension of stress 5.10 −7 Mpa.…”

Section: Introductionmentioning

confidence: 99%

A Study of the Effect of Finite Element Meshing in the Modeling of Elastoplastic Degradation of Composite Laminates

Sadat

Mokaddem

Doumi

et al. 2017

Int. J. Comput. Methods

View full text Add to dashboard Cite

Due to the increased use of composite materials in industrial applications, reliable and consistent finite element methods are required for the simulation and optimization of composite structures. In this paper, we presented the effect of finite element meshing in the modeling of degradation in composite structures under tensile stress; we have used an elastoplastic model to simulate the damage and plasticity behavior occurring in laminated composite structures carbon/epoxy: T300/914. This model works with different elements and the results obtained are not sensitive to mesh size. Thus, we have showed that two different meshes give the same results. Our findings are in good agreement compared to the experimental data.

show abstract

Experimental Study on the Mechanical, Creep, and Viscoelastic Behavior of TiO2/Glass/Epoxy Hybrid Nanocomposites

Salehi

2016

Mech Compos Mater

View full text Add to dashboard Cite

Modeling the creep of polymer-based nanocomposites by using an alternative nonlinear optimization approach

Cited by 5 publications

References 2 publications

Mathematical Analysis of Two Approaches for Optimal Parameter Estimates to Modeling Time Dependent Properties of Viscoelastic Materials

Mathematical Analysis of Two Approaches for Optimal Parameter Estimates to Modeling Time Dependent Properties of Viscoelastic Materials

A Study of the Effect of Finite Element Meshing in the Modeling of Elastoplastic Degradation of Composite Laminates

Experimental Study on the Mechanical, Creep, and Viscoelastic Behavior of TiO2/Glass/Epoxy Hybrid Nanocomposites

Contact Info

Product

Resources

About