Structural nominal concrete strength derived by statistical mechanics

Limam, Oualid; Aidi, Mohamed; Zenzri, Hatem

doi:10.1016/j.physa.2013.10.046

Cited by 3 publications

(6 citation statements)

References 7 publications

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“…Furthermore, Limam et al ( 2014 ) and Ben Hassine et al ( 2019 ) proposed that, for isotherm processes, a scaling law should be associated with specific entropy S depending on size N and that the specific free energy should be written . In fact, internal energy is extensive and specific internal energy should be independent of N. On the contrary, entropy is non-additive at small scales and become additive as size N tends to infinity (Tsallis 2009 ).…”

Section: Methodsmentioning

confidence: 99%

“…Effects of T and N are rather due to entropy production. Similar hypothesis was considered for a damage evolution law as an intrinsic characteristic of the material independent of specimens size and temperature see Ben Hassine et al 2019and (Limam et al (2014). Equation (5) is introduced to consider population size effect, also from day 21.…”

Section: Theorymentioning

confidence: 97%

“…It was validated using comparison with experimental tests. It was derived in a context of generalized standard behaviour of material verifying Clausius–Duhem inequality (Limam et al 2014 ). Constitutive macroscopic behaviour (Eq.…”

Section: Appendixmentioning

confidence: 99%

“…This paper proposes, in this context, a phenomenological model of propagation and dissipation in analogy to elastic wave propagation and a size and temperature-dependent elastic damage material model (Ben Hassine et al 2019 ; Limam et al 2014 ). The advantage of a formalism inspired from thermodynamics is that different effects emerge from principles.…”

Section: Introductionmentioning

confidence: 99%

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Contribution to COVID-19 spread modelling: a physical phenomenological dissipative formalism

Limam

Limam²

2020

Biomech Model Mechanobiol

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In this study, we propose an evolution law of COVID-19 transmission. An infinite ordered lattice represents population. Epidemic evolution is represented by a wave-like free spread starting from a first case as an epicentre. Free energy of the virus on a given day is defined equal to the natural logarithm of active infected cases number. We postulate a form of free energy built using thermodynamics of irreversible processes in analogy to isotherm wave propagation in solids and non-local elastic damage behaviour of materials. The proposed expression of daily free energy rate leads to dissipation of propagation introducing a parameter quantifying measures taking by governments to restrict transmission. Entropy daily rate representing disorder produced in the initial system is also explicitly defined. In this context, a simple law of evolution of infected cases as function of time is given in an iterative form. The model predicts different effects on peak of infected cases I max and epidemic period, including effects of population size N, effects of measures taking to restrict spread, effects of population density and effect of a parameter T similar to absolute temperature in thermodynamics. Different effects are presented first. The model is then applied to epidemic spread in Tunisia and compared with data registered since the report of the first confirmed case on March 2, 2020. It is shown that the low epidemic size in Tunisia is essentially due to a low population density and relatively strict restriction measures including lockdown and quarantine.

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Section: Methodsmentioning

confidence: 99%

Section: Theorymentioning

confidence: 97%

Section: Appendixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Contribution to COVID-19 spread modelling: a physical phenomenological dissipative formalism

Limam

Limam²

2020

Biomech Model Mechanobiol

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“…Keeling and Eames (2005) interpreted this representation as similar to epidemic transmission. This paper proposes, in this context of lattice representation, a law of propagation and dissipation using a formalism in analogy to elastic wave propagation and a size and temperature dependent elastic damage material model ((Ben Hassine et al (2019) and (Limam et al, 2014).) The advantage of a formalism inspired from thermodynamics is that different effects emerge from principles.…”

Section: Introductionmentioning

confidence: 99%

Contribution to COVID-19 spread modelling: A physical phenomenological dissipative formalism

Limam

2020

Preprint

Self Cite

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In this study, we propose an evolution law of COVID-19 transmission based first on a representation of population by a domain part of an infinite ordered lattice in which epidemic evolution is represented by a wave like free spread starting from a first case as an epicentre. Free energy of spread on a given day is defined equal to the natural logarithm of the number of infected cases. Dissipation of propagation is obtained using a postulated form of free energy built using thermodynamics of irreversible processes in analogy to isotherm wave propagation in solids and elastic damage behaviour of materials. The proposed expression of daily free energy rate leads to dissipation of propagation introducing a parameter quantifying measures taking by governments to restrict transmission. Entropy daily rate representing disorder produced in the initial system is also explicitly defined. In this context, a simple law of evolution of infected cases as function of time is given in an iterative form. The model predicts different effects on peak of infected cases Imax and epidemic period, including effects of population size N, effects of measures taking to restrict spread, effects of population density and effect of a parameter T similar to absolute temperature in thermodynamics. Different effects are presented first. The model is than applied to epidemic spread in Tunisia and compared with data registered since the report of the first confirmed case on Mar 2, 2020. It is shown that the low epidemic size in Tunisia is essentially due to a low population density and relatively strict restriction measures including lockdown and quarantine.

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Mechanical Behaviors of Metakaolin-Based Engineered Geopolymer Composite under Ambient Curing Condition

Cai

Pan

Han

et al. 2022

J. Mater. Civ. Eng.

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Structural nominal concrete strength derived by statistical mechanics

Cited by 3 publications

References 7 publications

Contribution to COVID-19 spread modelling: a physical phenomenological dissipative formalism

Contribution to COVID-19 spread modelling: a physical phenomenological dissipative formalism

Contribution to COVID-19 spread modelling: A physical phenomenological dissipative formalism

Mechanical Behaviors of Metakaolin-Based Engineered Geopolymer Composite under Ambient Curing Condition

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