Couple stress theory for solids

International Journal of Solids and Structures

Volumn 48, Issue 18, 2011, Pages 2496-2510

  Hadjesfandiari, Ali R ^a   Dargush, Gary F ^a  

^a State University of New York ^*  (United States)

Author keywords

Couple stress; Curvature tensor; Elasticity; Micro and nano mechanics; Size effect; Size dependent solid mechanics

Indexed keywords

COUPLE STRESS; CURVATURE TENSOR; MICRO- AND NANO-MECHANICS; SIZE EFFECTS; SIZE-DEPENDENT SOLID MECHANICS;

BOUNDARY VALUE PROBLEMS; DEFORMATION; ELASTICITY; TENSORS;

STRESSES;

EID: 79959734593     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2011.05.002     Document Type: Article

References (14)

1. S. Chen, and T. Wang Strain gradient theory with couple stress for crystalline solids Eur. J. Mech. A. Solids 20 2001 739 756 (Pubitemid 32962172)
2. E. Cosserat, and F. Cosserat Théorie des corps déformables (Theory of Deformable Bodies) 1909 A. Hermann et Fils Paris
3. A.C. Eringen Theory of micropolar elasticity H. Liebowitz, Fracture vol. 2 1968 Academic Press New York 662 729
4. W.R. Hamilton Elements of Quaternions 1866 Longmans, Green & Co. London
5. W.T. Koiter Couple stresses in the theory of elasticity, I and II Proc. Ned. Akad. Wet. B 67 1964 17 44
6. M. Lazar, G.A. Maugin, and E.C. Aifantis On dislocations in a special class of generalized elasticity Phys. Status Solidi B 242 2005 2365 2390 (Pubitemid 41494934)
7. R.D. Mindlin, and N.N. Eshel On first strain-gradient theories in linear elasticity Int. J. Solids Struct. 4 1968 109 124
8. R.D. Mindlin Influence of couple-stresses on stress concentrations Exp. Mech. 3 1963 1 7
9. R.D. Mindlin Micro-structure in linear elasticity Arch. Ration. Mech. Anal. 16 1964 51 78
10. R.D. Mindlin, and H.F. Tiersten Effects of couple-stresses in linear elasticity Arch. Ration. Mech. Anal. 11 1962 415 488
11. W. Nowacki Theory of Asymmetric Elasticity 1986 Pergamon Press Oxford
12. R.A. Toupin Elastic materials with couple-stresses Arch. Ration. Mech. Anal. 11 1962 385 414
13. W. Voigt Theoretische Studien fiber die Elastizitatsverhiltnisse der Kristalle (Theoretical Studies on the Elasticity Relationships of Crystals) Abh. Gesch. Wissenschaften 1887 34
14. F. Yang, A.C.M. Chong, D.C.C. Lam, and P. Tong Couple stress based strain gradient theory for elasticity Int. J. Solids Struct. 47 1 2002 2731 2743 (Pubitemid 34617098)