메뉴 건너뛰기




Volumn 63, Issue 1, 2014, Pages 432-450

An efficient approach for numerical treatment of some inequalities in solid mechanics on examples of Kuhn-Tucker and Signorini-Fichera conditions

Author keywords

Constitutive behavior; Contact mechanics; Crystal plasticity; Kuhn Tucker and Signorini Fichera conditions; Numerical algorithms

Indexed keywords

CONSTITUTIVE BEHAVIORS; CONTACT MECHANICS; CRYSTAL PLASTICITY; KUHN-TUCKER; NUMERICAL ALGORITHMS;

EID: 84891837281     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2013.08.008     Document Type: Article
Times cited : (9)

References (40)
  • 1
    • 0030128143 scopus 로고    scopus 로고
    • A computational procedure for rate-independent crystal plasticity
    • L. Anand, and M. Kothari A computational procedure for rate-independent crystal plasticity J. Mech. Phys. Solids 44 1996 525 558
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 525-558
    • Anand, L.1    Kothari, M.2
  • 2
    • 34249876940 scopus 로고    scopus 로고
    • A mathematical representation of the multiaxial Bauschinger effect
    • P.J. Armstrong, and C.O. Frederick A mathematical representation of the multiaxial Bauschinger effect Mater. High Temp. 24 2007 1 26
    • (2007) Mater. High Temp. , vol.24 , pp. 1-26
    • Armstrong, P.J.1    Frederick, C.O.2
  • 4
    • 0009989013 scopus 로고
    • Similarity properties of discrete contact between a fractal punch and an elastic medium
    • F. Borodich Similarity properties of discrete contact between a fractal punch and an elastic medium C. R. Acad. Sci. (Paris) 316 1993 281 286
    • (1993) C. R. Acad. Sci. (Paris) , vol.316 , pp. 281-286
    • Borodich, F.1
  • 5
    • 0032290779 scopus 로고    scopus 로고
    • Parametric homogeneity and non-classical self-similarity. I. Mathematical background
    • F. Borodich Parametric homogeneity and non-classical self-similarity. I. Mathematical background Acta Mech. 131 1998 27 45
    • (1998) Acta Mech. , vol.131 , pp. 27-45
    • Borodich, F.1
  • 6
    • 0032290570 scopus 로고    scopus 로고
    • Parametric homogeneity and non-classical self-similarity. II. Some applications
    • F. Borodich Parametric homogeneity and non-classical self-similarity. II. Some applications Acta Mech. 131 1998 47 67
    • (1998) Acta Mech. , vol.131 , pp. 47-67
    • Borodich, F.1
  • 7
    • 0036833201 scopus 로고    scopus 로고
    • Self-similar problems of elastic contact for non-convex punches
    • F.M. Borodich, and B.A. Galanov Self-similar problems of elastic contact for non-convex punches J. Mech. Phys. Solids 50 2002 2441 2461
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 2441-2461
    • Borodich, F.M.1    Galanov, B.A.2
  • 8
    • 47049089771 scopus 로고    scopus 로고
    • A review of some plasticity and viscoplasticity constitutive theories
    • J.L. Chaboche A review of some plasticity and viscoplasticity constitutive theories Int. J. Plasticity 24 2008 1642 1693
    • (2008) Int. J. Plasticity , vol.24 , pp. 1642-1693
    • Chaboche, J.L.1
  • 10
    • 0021540021 scopus 로고
    • Spatial contact problems for rough elastic bodies under elastoplastic deformations of the unevenness
    • B.A. Galanov Spatial contact problems for rough elastic bodies under elastoplastic deformations of the unevenness J. Appl. Math. Mech. 48 1984 750 757
    • (1984) J. Appl. Math. Mech. , vol.48 , pp. 750-757
    • Galanov, B.A.1
  • 11
    • 0022215992 scopus 로고
    • The method of boundary equations of the hammerstein-type for contact problems of the theory of elasticity when the regions of contact are not known
    • B.A. Galanov The method of boundary equations of the hammerstein-type for contact problems of the theory of elasticity when the regions of contact are not known J. Appl. Math. Mech. 49 1985 634 640
    • (1985) J. Appl. Math. Mech. , vol.49 , pp. 634-640
    • Galanov, B.A.1
  • 12
    • 0023021217 scopus 로고
    • On the non-linear boundary equations of the mechanics of the contact of rough elastic bodies
    • B.A. Galanov On the non-linear boundary equations of the mechanics of the contact of rough elastic bodies J. Appl. Math. Mech. 50 1986 357 361
    • (1986) J. Appl. Math. Mech. , vol.50 , pp. 357-361
    • Galanov, B.A.1
  • 13
    • 0010019675 scopus 로고
    • Nonlinear boundary equations of unilateral boundary value problems in the mechanics of the contact of elastic bodies [in Russian]
    • B.A. Galanov Nonlinear boundary equations of unilateral boundary value problems in the mechanics of the contact of elastic bodies [in Russian] Izv. Vyssh. Uchebn. Zaved. Mat. 3 1989 82 85
    • (1989) Izv. Vyssh. Uchebn. Zaved. Mat. , vol.3 , pp. 82-85
    • Galanov, B.A.1
  • 14
    • 4243602619 scopus 로고    scopus 로고
    • Boundary element method for contact problems with some applications to problems of materials science
    • Ranachwski, J., Raabe, J. (Eds.)
    • Galanov, B.A., 1997a. Boundary element method for contact problems with some applications to problems of materials science, In: Ranachwski, J., Raabe, J. (Eds.), Nowoczesne metody badan I technologie materialow ceramicznych, Warszawa, pp. 125-144.
    • (1997) Nowoczesne Metody Badan i Technologie Materialow Ceramicznych, Warszawa , pp. 125-144
    • Galanov, B.A.1
  • 15
    • 0010061411 scopus 로고    scopus 로고
    • Nonlinear boundary integral equations of contact mechanics and some their engineering applications
    • L. Morino, W.L. Wendland, Kluwer Academic Publishers Dordrecht
    • B.A. Galanov Nonlinear boundary integral equations of contact mechanics and some their engineering applications L. Morino, W.L. Wendland, IABEM Symposium on Boundary Integral Methods for Nonlinear Problems 1997 Kluwer Academic Publishers Dordrecht 69 74
    • (1997) IABEM Symposium on Boundary Integral Methods for Nonlinear Problems , pp. 69-74
    • Galanov, B.A.1
  • 16
    • 84862084681 scopus 로고    scopus 로고
    • Similarity approach to Hertz type contact problems
    • F. Borodich, Springer
    • B.A. Galanov Similarity approach to Hertz type contact problems F. Borodich, IUTAM Symposium on Scaling in Solids Mechanics 2007 Springer 111 122
    • (2007) IUTAM Symposium on Scaling in Solids Mechanics , pp. 111-122
    • Galanov, B.A.1
  • 17
    • 80052964366 scopus 로고    scopus 로고
    • Models of adhesive contact between rough elastic solids
    • B.A. Galanov Models of adhesive contact between rough elastic solids Int. J. Mech. Sci. 53 2011 968 977
    • (2011) Int. J. Mech. Sci. , vol.53 , pp. 968-977
    • Galanov, B.A.1
  • 20
    • 84891826760 scopus 로고    scopus 로고
    • Two-term friction law of B.V. Deryagin for a sliding contact of rough elastic bodies
    • B.A. Galanov, I.K. Valeeva, and S.M. Ivanov Two-term friction law of B.V. Deryagin for a sliding contact of rough elastic bodies Rep. Natl. Acad.f Sci. Ukraine 8 2010 106 112
    • (2010) Rep. Natl. Acad.f Sci. Ukraine , vol.8 , pp. 106-112
    • Galanov, B.A.1    Valeeva, I.K.2    Ivanov, S.M.3
  • 24
    • 80052868269 scopus 로고    scopus 로고
    • Stress update algorithm for the combined viscoplastic and plastic behaviours of single-crystal superalloys
    • V. Kindrachuk, and B. Fedelich Stress update algorithm for the combined viscoplastic and plastic behaviours of single-crystal superalloys Int. J. Numer. Methods Eng. 88 2011 83 102
    • (2011) Int. J. Numer. Methods Eng. , vol.88 , pp. 83-102
    • Kindrachuk, V.1    Fedelich, B.2
  • 25
    • 0033881162 scopus 로고    scopus 로고
    • Rate-independent crystalline and polycrystalline plasticity, application to FCC materials
    • R. Knockaert, Y. Chastel, and E. Massoni Rate-independent crystalline and polycrystalline plasticity, application to FCC materials Int. J. Plasticity 16 2000 179 198
    • (2000) Int. J. Plasticity , vol.16 , pp. 179-198
    • Knockaert, R.1    Chastel, Y.2    Massoni, E.3
  • 26
    • 85007734993 scopus 로고
    • Single crystal modeling for structural calculations: Part 1 - Model presentation
    • L. Meric, P. Poubanne, and G. Cailletaud Single crystal modeling for structural calculations: part 1 - model presentation J. Eng. Mater. Technol. 113 1991 162 170
    • (1991) J. Eng. Mater. Technol. , vol.113 , pp. 162-170
    • Meric, L.1    Poubanne, P.2    Cailletaud, G.3
  • 27
    • 0035127322 scopus 로고    scopus 로고
    • A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity
    • C. Miehe, and J. Schröder A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity Int. J. Numer. Methods Eng. 50 2001 273 298
    • (2001) Int. J. Numer. Methods Eng. , vol.50 , pp. 273-298
    • Miehe, C.1    Schröder, J.2
  • 29
    • 0023535168 scopus 로고
    • Multivalued boundary integral-equations for inequality problems - The convex case
    • P.D. Panagiotopoulos Multivalued boundary integral-equations for inequality problems - the convex case Acta Mech. 70 1987 145 167
    • (1987) Acta Mech. , vol.70 , pp. 145-167
    • Panagiotopoulos, P.D.1
  • 33
    • 0029280293 scopus 로고
    • R-functions in boundary value problems in mechanics
    • V.L. Rvachev, and T.I. Sheiko R-functions in boundary value problems in mechanics Appl. Mech. Rev. 48 1995 151 188
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 151-188
    • Rvachev, V.L.1    Sheiko, T.I.2
  • 34
    • 34248659145 scopus 로고    scopus 로고
    • Multi-mechanism models for the description of ratchetting: Effect of the scale transition rule and of the coupling between hardening variables
    • K. Sai, and G. Cailletaud Multi-mechanism models for the description of ratchetting: Effect of the scale transition rule and of the coupling between hardening variables Int. J. Plasticity 23 2007 1589 1617
    • (2007) Int. J. Plasticity , vol.23 , pp. 1589-1617
    • Sai, K.1    Cailletaud, G.2
  • 35
    • 0037436531 scopus 로고    scopus 로고
    • Numerical concepts for rate-independent single crystal plasticity
    • M. Schmidt-Baldassari Numerical concepts for rate-independent single crystal plasticity Comput. Methods Appl. Mech. Eng. 192 2003 1261 1280
    • (2003) Comput. Methods Appl. Mech. Eng. , vol.192 , pp. 1261-1280
    • Schmidt-Baldassari, M.1
  • 36
    • 0031380504 scopus 로고    scopus 로고
    • Aspects of computational rate-independent crystal plasticity
    • J. Schröder, and C. Miehe Aspects of computational rate-independent crystal plasticity Comput. Mater Sci. 9 1997 168 176
    • (1997) Comput. Mater Sci. , vol.9 , pp. 168-176
    • Schröder, J.1    Miehe, C.2
  • 37
    • 35348868177 scopus 로고    scopus 로고
    • Semi-analytic geometry with R-functions
    • V. Shapiro Semi-analytic geometry with R-functions Acta Numer. 16 2007 239 303
    • (2007) Acta Numer. , vol.16 , pp. 239-303
    • Shapiro, V.1
  • 39
    • 0141460815 scopus 로고    scopus 로고
    • A meshfree method for incompressible fluid dynamics problems
    • I. Tsukanov, V. Shapiro, and S. Zhang A meshfree method for incompressible fluid dynamics problems Int. J. Numer. Methods Eng. 58 2003 127 158
    • (2003) Int. J. Numer. Methods Eng. , vol.58 , pp. 127-158
    • Tsukanov, I.1    Shapiro, V.2    Zhang, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.