A. Aitmoussa, Modélisation etétudeetétude des Singularités de Contraintes d'un Joint Collé très mince, 1989.

H. Attouch, Variational Convergence for Functions and Operators, Applicable Mathematics Series, 1985.

H. Attouch, G. Buttazzo, and G. Michaille, Variational Analysis in Sobolev and BV Spaces : Application to PDEs and Optimization, MPS-SIAM Book Series on Optimization, 2005.
DOI : 10.1137/1.9781611973488

M. Bellieud and G. Bouchitté, Homogenization of Elliptic Problems in a Fiber Reinforced Structure. Non local effects, Ann. Scuola Norm. Sup. CI Sci, vol.26, issue.4, pp.407-432, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01283228

M. Bellieud and I. Gruais, Homogenization of an elastic material reinforced by very stiff or heavy fibers. Non-local effects. Memory effects, Journal de Math??matiques Pures et Appliqu??es, vol.84, issue.1
DOI : 10.1016/j.matpur.2004.02.003

A. Cecchi and K. Sab, A Multi-Parameter Homogennization Study for Modeling Elastic Masonry, European Jounal of Mechanics A/Solids, pp.249-268, 2002.

C. Licht and G. Michaille, A Modelling of Elastic Adhesive Bounded Joints, Advances in Mathematical Sciences and Applications, pp.711-740, 1997.

J. C. Maxwell, A Treatise on Electricity and Magnetism, p.1881

S. Poisson, Second Mémoire sur la Théorie du Magnétisme, Mem, 1822.

F. Murat and L. Tartar, Calcul des Variations et Homogénéisation, Les Méthodes de l'Homogénéisation Théorie et Applications en Physique

F. Murat and L. Tartar, Optimality Conditions and Homogenization, pp.1-8, 1985.

J. Bensoussan, Lions eds., Lecture Notes in Econnomy and Mathematical Systems, pp.420-426, 1975.

L. Tartar, Estimaiton de Coefficients Homogénéisés Computing methods in applied sciences and engineering, Third International Symposium, pp.704-364, 1977.

H. Attouch, Variational Convergence for Functions and Operators, Applicable Mathematics Series, 1985.

M. Bellieud and G. Bouchitté, Homogenization of Elliptic Problems in a Fiber Reinforced Structure. Non local effects, Ann. Scuola Norm. Sup. CI Sci, vol.26, issue.4, pp.407-432, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01283228

M. Bellieud and I. Gruais, Homogenization of an elastic material reinforced by very stiff or heavy fibers. Non-local effects. Memory effects, Journal de Math??matiques Pures et Appliqu??es, vol.84, issue.1
DOI : 10.1016/j.matpur.2004.02.003

A. Cecchi and K. Sab, A Multi-Parameter Homogennization Study for Modeling Elastic Masonry, European Jounal of Mechanics A/Solids, pp.249-268, 2002.

C. Licht and G. Michaille, A Modelling of Elastic Adhesive Bounded Joints, Advances in Mathematical Sciences and Applications, pp.711-740, 1997.

A. Aitmoussa, Modélisation etétudeetétude des Singularités de Contraintes d'un Joint Collé très mince, 1989.

M. Bellieud and I. Gruais, Homogenization of an elastic material reinforced by very stiff or heavy fibers. Non-local effects. Memory effects, Journal de Math??matiques Pures et Appliqu??es, vol.84, issue.1
DOI : 10.1016/j.matpur.2004.02.003

S. Orankitjaroen, N. Sontichai, C. Licht, and A. Kananthai, Mathematical Modeling of Fiber Reinforced Structures by Homogenization, Thai Journal of Mathematics, Special Issue Annual Meeting in Mathematics, pp.103-115, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00746943

H. Attouch, G. Buttazzo, and G. Michaille, Variational Analysis in Sobolev and BV Spaces : Application to PDEs and Optimization, MPS-SIAM Book Series on Optimization, 2005.
DOI : 10.1137/1.9781611973488

B. Dacorogna, Direct Methods in the Calculus of Variations, 1989.
DOI : 10.1007/978-3-642-51440-1

C. Pideri and P. Seppecher, A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium, Continuum Mechanics and Thermodynamics, vol.9, issue.5, pp.241-257, 1997.
DOI : 10.1007/s001610050069

URL : https://hal.archives-ouvertes.fr/hal-00527291

A. Cecchi and K. Sab, A Multi-Parameter Homogennization Study for Modeling Elastic Masonry, European Jounal of Mechanics A/Solids, pp.249-268, 2002.

C. Licht and G. Michaille, A Modelling of Elastic Adhesive Bounded Joints, Advances in Mathematical Sciences and Applications, pp.711-740, 1997.

A. Aitmoussa, Modélisation etétudeetétude des Singularités de Contraintes d'un Joint Collé très mince, 1989.

P. Grisvard, Behavior of the Solution of an Elliptic Boundary Value Problem in a Polygonal or Ployhedral domain, Symporium on Numerical Solutions of Partial Differential Equations III, pp.207-274, 1975.

P. Grisvard, Boundary Value Problems in Plane Plygone Instructions for Use, EDF Bulletin de la Direction des, Etudes et Recherches Série C' Mathématiques, Informatique, issue.1, pp.21-59, 1986.

H. Attouch, Variational Convergence for Functions and Operators, Applicable Mathematics Series, 1985.

H. Attouch, G. Buttazzo, and G. Michaille, Variational Analysis in Sobolev and BV Spaces Application to PDEs and Optimization, MPS-SIAM Book Series on Optimization, 2006.

A. Aitmoussa, Modélisation etétudeetétude des Singularités de Contraintes d'un Joint Collé très mince, 1989.

H. Attouch, Variational Convergence for Functions and Operators, Applicable Mathematics Series, 1985.

H. Attouch, G. Buttazzo, and G. Michaille, Variational Analysis in Sobolev and BV Spaces : Application to PDEs and Optimization, MPS-SIAM Book Series on Optimization, 2005.
DOI : 10.1137/1.9781611973488

M. Bellieud and G. Bouchitté, Homogenization of Elliptic Problems in a Fiber Reinforced Structure. Non local effects, Ann. Scuola Norm. Sup. CI Sci, vol.26, issue.4, pp.407-432, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01283228

M. Bellieud and I. Gruais, Homogenization of an elastic material reinforced by very stiff or heavy fibers. Non-local effects. Memory effects, Journal de Math??matiques Pures et Appliqu??es, vol.84, issue.1
DOI : 10.1016/j.matpur.2004.02.003

A. Cecchi and K. Sab, A Multi-Parameter Homogennization Study for Modeling Elastic Masonry, European Jounal of Mechanics A/Solids, pp.249-268, 2002.

B. Dacorogna, Direct Methods in the Calculus of Variations, 1989.
DOI : 10.1007/978-3-642-51440-1

P. Grisvard, Behavior of the Solution of an Elliptic Boundary Value Problem in a Polygonal or Ployhedral domain, Symporium on Numerical Solutions of Partial Differential Equations III, pp.207-274, 1975.

P. Grisvard, Boundary Value Problems in Plane Plygone Instructions for Use, EDF Bulletin de la Direction des, Etudes et Recherches Série C' Mathématiques, Informatique, issue.1, pp.21-59, 1986.

C. Licht and G. Michaille, A Modelling of Elastic Adhesive Bounded Joints, Advances in Mathematical Sciences and Applications, pp.711-740, 1997.

J. C. Maxwell, A Treatise on Electricity and Magnetism, p.1881

F. Murat and L. Tartar, Calcul des Variations et Homogénéisation, Les Méthodes de l'Homogénéisation Théorie et Applications en Physique

F. Murat and L. Tartar, Optimality Conditions and Homogenization, pp.1-8, 1985.

S. Orankitjaroen, N. Sontichai, C. Licht, and A. Kananthai, Mathematical Modeling of Fiber Reinforced Structures by Homogenization, Thai Journal of Mathematics, Special Issue Annual Meeting in Mathematics, pp.103-115, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00746943

C. Pideri and P. Seppecher, A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium, Continuum Mechanics and Thermodynamics, vol.9, issue.5, pp.241-257, 1997.
DOI : 10.1007/s001610050069

URL : https://hal.archives-ouvertes.fr/hal-00527291

S. Poisson, Second Mémoire sur la Théorie du Magnétisme, Mem, 1822.

J. Bensoussan, Lions eds., Lecture Notes in Econnomy and Mathematical Systems, pp.420-426, 1975.

L. Tartar, Estimaiton de Coefficients Homogénéisés Computing methods in applied sciences and engineering, Third International Symposium, pp.704-364, 1977.

?. Esuméesum´esumé-en-français-onétudieonétudie-quelquesprobì-emes-singuliers, E. F. Adresse-de-l-'u, . Ou, and . Laboratoire, u en plus de la période de distributions des hétérogénéités apparaissent d'autres paramètres comme la très forte (ou faible) rigidité (ou permittivité) d'une des phases et la taille relative de celle-ci. Sont visés des milieux fibrés ou stratifiés et des maçonneries planes et minces ??????????????????????????????????? TITRE en anglais MATHEMATICAL MODELING OF SOME MECHANICS PROB- LEMS BY HOMOGENIZATION ??????????????????????????????????? R ´ ESUMÉESUM´ESUMÉ en anglais We study some singular problems of homogenization in linearized elasticity or nonlinear electricity where in addition to the period of the distribution of heterogeneities other parameters do appear as the very high (or low) stiffness (or permittivity) of one phase and its relative size, Fibered media, stratified media and flat and thin masonries are considered ??????????????????????????????????? DISCIPLINE MECANIQUE ??????????????????????????????????? MOTS-CLES Homogénéisation, Gamma convergence, MilieuxélastiquesMilieuxélastiques ??????????????????????????????????? INTITULE

G. Laboratoire-de-mécanique and . Civil, UMR 5508 du CNRS, Case Courrier 058