scholarly journals Limit analysis of an elastic thin oscillating layer

2015 ◽  
Vol 34 (2) ◽  
pp. 237-261
Author(s):  
Jamal Messaho ◽  
Abdelaziz Ait Moussa
Keyword(s):  
Limit Analysis ◽  
Limit Behavior ◽  
Elasticity Problem ◽  
Interface Conditions ◽  
Power Type ◽  
Negative Power ◽  
Limit Problems ◽  
Convergence Method

The aim of this paper, is to study the limit behavior of the solution of a convex elasticity problem with negative power type, of a containing structure, an elastic thin oscillating layer of thickness depending of a small enough parameter. The epi-convergence method is considered to nd the limit problems with interface conditions.

scholarly journals Asymptotic modeling of thin plastic oscillating layer

2014 ◽  
Vol 32 (2) ◽  
pp. 95
Author(s):  
Ait Moussa Abdlaziz ◽  
Mohamed Verid Abdelkader
Keyword(s):  
Asymptotic Behavior ◽  
Elasticity Problem ◽  
Asymptotic Behavior Of Solutions ◽  
Interface Conditions ◽  
Asymptotic Modeling ◽  
Limit Problems ◽  
Small Parameters ◽  
Convergence Method ◽  
Thin Plastic

In this paper we study the asymptotic behavior of solutions to a elasticity problem, of a containing structure a plastic thin oscillating layer of thickness and rigidity depending of small parameters $\varepsilon$. We use the epi-convergence method to find the limit problems with interface conditions.

scholarly journals Limit behavior of a heat loss problem on oscillating thin layer

2017 ◽  
Vol 35 (1) ◽  
pp. 147
Author(s):  
Jamal Messaho
Keyword(s):  
Thin Layer ◽  
Heat Loss ◽  
Weak Solutions ◽  
Limit Behavior ◽  
Interface Conditions ◽  
Limit Problems ◽  
Loss Parameter

The aim of this work is to study the limit behavior of weak solutions of athermal problem (where the heat loss is considered), of a containing structure, an oscillatingthin layer of thickness, periodicity and heat loss parameter depending of $\varepsilon$. Theepiconvergence method is considered to find the limit problems with interface conditions.

scholarly journals NEGATIVE POWERS OF INTEGRATED PROCESSES

2021 ◽  
pp. 1-31
Author(s):  
Neslihan Sakarya ◽  
Robert M. de Jong
Keyword(s):  
Limit Distribution ◽  
Limit Behavior ◽  
Integrated Process ◽  
Negative Power ◽  
Absolute Value ◽  
The Absolute ◽  
Integrated Processes

This paper derives the limit distribution of the rescaled sum of the absolute value of an integrated process with continuously distributed innovations raised to a negative power less than $-$ 1, and of the analogous statistic that is obtained using the same function of an integrated process but only considering positive values of the integrated process. We show that the limit behavior of this statistic is determined by the values of the integrated process that are closest to 0, and find the limit behavior of the values of the integrated process that are closest to 0.

scholarly journals On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in Nanostructure

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Hicham Maadan ◽  
Nour Eddine Askour ◽  
Jamal Messaho
Keyword(s):  
Sobolev Space ◽  
Boundary Value Problem ◽  
Elliptic Problem ◽  
Weak Solutions ◽  
Variable Exponent ◽  
Boundary Value ◽  
Limit Problem ◽  
Limit Behavior ◽  
Interface Conditions ◽  
Weak Solvability

This work is devoted to study the limit behavior of weak solutions of an elliptic problem with variable exponent, in a containing structure, of an oscillating nanolayer of thickness and periodicity parameter depending on ε . The generalized Sobolev space is constructed, and the epiconvergence method is considered to find the limit problem with interface conditions.

Evaluation of the Current Concrete Design Code on Shear and End Anchorage of Deep Beams by a Limit Analysis Based on Concrete Plasticity

2012 ◽  
Vol 18 (11) ◽  
pp. 1311-1318
Author(s):  
Hosoon Choi ◽  
Sung-Gul Hong ◽  
Young Hak Lee ◽  
Heecheul Kim ◽  
Dae-Jin Kim
Keyword(s):  
Limit Analysis ◽  
Design Code ◽  
Deep Beams

Stochastic homogenization and macroscopic modelling of composites and flow through porous media

2002 ◽  
pp. 337-378 ◽  
Author(s):  
Jozef Telega ◽  
Wlodzimierz Bielski
Keyword(s):  
Porous Medium ◽  
Random Distribution ◽  
Flow Through Porous Media ◽  
Macroscopic Models ◽  
Linear Elastic ◽  
Multi Scale ◽  
Convergence Method ◽  
Flow Through ◽  
The Mean ◽  
Random Porous Medium

The aim of this contribution is mainly twofold. First, the stochastic two-scale convergence in the mean developed by Bourgeat et al. [13] is used to derive the macroscopic models of: (i) diffusion in random porous medium, (ii) nonstationary flow of Stokesian fluid through random linear elastic porous medium. Second, the multi-scale convergence method developed by Allaire and Briane [7] for the case of several microperiodic scales is extended to random distribution of heterogeneities characterized by separated scales (stochastic reiterated homogenization). .

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