2018
DOI: 10.1007/s11071-018-4282-2
|View full text |Cite
|
Sign up to set email alerts
|

A class of uniaxial phenomenological models for simulating hysteretic phenomena in rate-independent mechanical systems and materials

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

0
76
0

Year Published

2019
2019
2021
2021

Publication Types

Select...
4
2
2

Relationship

1
7

Authors

Journals

citations
Cited by 130 publications
(76 citation statements)
references
References 52 publications
0
76
0
Order By: Relevance
“…This subsection develops a one degree of freedom model using a general constitutive equation with application to computational mechanics. The internal forces are adapted from the exponential model (EM) of Vaiana et al [19]. This material description is intended to fit the rate-independent hysteretic behavior of materials.…”
Section: A Computational Mechanics Problemmentioning
confidence: 99%
See 1 more Smart Citation
“…This subsection develops a one degree of freedom model using a general constitutive equation with application to computational mechanics. The internal forces are adapted from the exponential model (EM) of Vaiana et al [19]. This material description is intended to fit the rate-independent hysteretic behavior of materials.…”
Section: A Computational Mechanics Problemmentioning
confidence: 99%
“…where u is the deformation displacement, z is the internal stress, A is the cross section area, and m is the mass of the system, concentrated in one node. The stress is determined by [19]…”
Section: A Computational Mechanics Problemmentioning
confidence: 99%
“…To decrease the computational burden of the analyses without decreasing the accuracy of the numerical results, we propose to evaluate z(u) by employing a specific instance of the general class of uniaxial phenomenological models formulated by Vaiana et al [13,14].…”
Section: Model Formulationmentioning
confidence: 99%
“…where δ k may be set equal to 10 −20 , as explained in [13,14]. Finally, for the generic loading case, the expression of the history variable is:…”
Section: Model Formulationmentioning
confidence: 99%
“…Studies have been conducted to determine the vertical and horizontal behaviour, under cyclic and monotonic loads, of FREIs based on the behaviour of the SREIs, leading to a better understanding of their performance. These investigations have considered the influence of the variation of the reinforcement and matrix materials as well as the influence of the vertical pressure by comparing experimental investigations and finite element analyses [6], [12]- [17]. However, the lack of a complete analytical solution that combines the lateral and vertical response of FREIs has limited the possibility ofpredicting their response under large levels of deformation (i.e., strain up to 100%) [16].…”
Section: Introductionmentioning
confidence: 99%