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Volumn 38, Issue 1, 2006, Pages 37-63

Existence of solutions for a class of impact problems without viscosity

Author keywords

Complementarity conditions; Dynamic obstacle problems; Impact problems; Strongly pointed cones

Indexed keywords

COMPLEMENTARITY CONDITIONS; DYNAMIC OBSTACLE PROBLEMS; IMPACT PROBLEMS; STRONGLY POINTED CONES;

EID: 33847329240     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141004444664     Document Type: Article
Times cited : (18)

References (35)
  • 1
    • 33847285410 scopus 로고    scopus 로고
    • Euler-Bernoulli beam in impact: Existence
    • Technical report, University of Iowa, Iowa City, Iowa
    • J. AHN AND D. E. STEWART, Euler-Bernoulli beam in impact: Existence, Technical report, University of Iowa, Iowa City, Iowa, 2005.
    • (2005)
    • AHN, J.1    STEWART, D.E.2
  • 2
    • 33747160402 scopus 로고    scopus 로고
    • Euler-Bernoulli beam with dynamic contact: Discretization, convergence, and numerical results
    • J. AHN AND D. E. STEWART, Euler-Bernoulli beam with dynamic contact: Discretization, convergence, and numerical results, SIAM J. Numer. Anal., 43 (2005), pp. 1455-1480.
    • (2005) SIAM J. Numer. Anal , vol.43 , pp. 1455-1480
    • AHN, J.1    STEWART, D.E.2
  • 4
    • 0012482555 scopus 로고
    • Study of the motion of a string vibrating against an obstacle
    • L. AMERIO AND G. PROUSE, Study of the motion of a string vibrating against an obstacle, Rend. Mat., 2 (1975), pp. 563-585.
    • (1975) Rend. Mat , vol.2 , pp. 563-585
    • AMERIO, L.1    PROUSE, G.2
  • 5
    • 0029695742 scopus 로고    scopus 로고
    • On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle
    • K. T. ANDREWS, M. SHILLOR, AND S. WRIGHT, On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle, J. Elasticity, 42 (1996), pp. 1-30.
    • (1996) J. Elasticity , vol.42 , pp. 1-30
    • ANDREWS, K.T.1    SHILLOR, M.2    WRIGHT, S.3
  • 8
    • 33847297014 scopus 로고
    • A numerical method of solution of the dynamical problem of the elastic impact of a thin rectangular plate on a rigid obstacle
    • V. G. ČEBAN AND I. V. RUSSU, A numerical method of solution of the dynamical problem of the elastic impact of a thin rectangular plate on a rigid obstacle, Prikl. Mat. i Programmirovanie Vyp., 4 (1971), pp. 94-104.
    • (1971) Prikl. Mat. i Programmirovanie Vyp , vol.4 , pp. 94-104
    • ČEBAN, V.G.1    RUSSU, I.V.2
  • 9
    • 0032144023 scopus 로고    scopus 로고
    • Constructive aspects of functional analysis for the treatment of frictional contact
    • M. COCU, E. PRATT, AND M. RAOUS, Constructive aspects of functional analysis for the treatment of frictional contact, Math. Comput. Modelling, 28 (1998), pp. 109-120.
    • (1998) Math. Comput. Modelling , vol.28 , pp. 109-120
    • COCU, M.1    PRATT, E.2    RAOUS, M.3
  • 10
    • 0033701977 scopus 로고    scopus 로고
    • Analysis of a class of implicit evolution inequalities associated to viscoelastic dynamic contact problems with friction
    • M. COCU AND J.-M. RICAUD, Analysis of a class of implicit evolution inequalities associated to viscoelastic dynamic contact problems with friction, Internat. J. Engrg. Sci., 38 (2000), pp. 1535-1552.
    • (2000) Internat. J. Engrg. Sci , vol.38 , pp. 1535-1552
    • COCU, M.1    RICAUD, J.-M.2
  • 11
    • 33847262951 scopus 로고
    • Vector Measures, Math
    • Amer. Math. Soc, Providence, RI
    • J. DIESTEL AND J. J. UHL, JR., Vector Measures, Math. Surveys Monogr., Amer. Math. Soc., Providence, RI, 1977.
    • (1977) Surveys Monogr
    • DIESTEL, J.1    UHL JR., J.J.2
  • 14
    • 0001354203 scopus 로고
    • A boundary thin obstacle problem for a wave equation
    • J. U. KIM, A boundary thin obstacle problem for a wave equation, Commun. Partial Differential Equations, 14 (1989), pp. 1011-1026.
    • (1989) Commun. Partial Differential Equations , vol.14 , pp. 1011-1026
    • KIM, J.U.1
  • 15
  • 18
    • 0004480637 scopus 로고
    • Real and Functional Analysis
    • 2nd ed, Springer, New York
    • S. LANG, Real and Functional Analysis, 2nd ed., Graduate Texts in Math. 142, Springer, New York, 1993.
    • (1993) Graduate Texts in Math , vol.142
    • LANG, S.1
  • 19
    • 0000811505 scopus 로고
    • A wave problem in a half-space with a unilateral constraint at the boundary
    • G. LEBEAU AND M. SCHATZMAN, A wave problem in a half-space with a unilateral constraint at the boundary, J. Differential Equations, 53 (1984), pp. 309-361.
    • (1984) J. Differential Equations , vol.53 , pp. 309-361
    • LEBEAU, G.1    SCHATZMAN, M.2
  • 20
    • 0031123697 scopus 로고    scopus 로고
    • On the Timoshenko beam vibrating under an obstacle condition
    • C. MARCHIONNA AND S. PANIZZI, On the Timoshenko beam vibrating under an obstacle condition, Meccanica, 32 (1997), pp. 101-114.
    • (1997) Meccanica , vol.32 , pp. 101-114
    • MARCHIONNA, C.1    PANIZZI, S.2
  • 21
    • 0002576773 scopus 로고
    • Bounded variation in time
    • Mechanics, J. J. Moreau, P. D. Panagiotopoulos, and G. Strang, eds, Birkhäuser, Basel, Switzerland
    • J.-J. MOREAU, Bounded variation in time, in Topics in Nonsmooth Mechanics, J. J. Moreau, P. D. Panagiotopoulos, and G. Strang, eds., Birkhäuser, Basel, Switzerland, 1988, pp. 1-74.
    • (1988) Topics in Nonsmooth , pp. 1-74
    • MOREAU, J.-J.1
  • 22
    • 0038729598 scopus 로고    scopus 로고
    • Viscoé lastodynamique monodimensionnelle avec conditions de Signorini
    • Sér. I
    • A. PETROV AND M. SCHATZMAN, Viscoé lastodynamique monodimensionnelle avec conditions de Signorini, C. R. Math Acad. Sci. Paris Sér. I, 334 (2002), pp. 983-988.
    • (2002) C. R. Math Acad. Sci. Paris , vol.334 , pp. 983-988
    • PETROV, A.1    SCHATZMAN, M.2
  • 23
    • 84990243913 scopus 로고    scopus 로고
    • A pseudodifferential linear complementarity problem related to a one dimensional viscoeleastic model with Signorini conditions
    • to appear
    • A. PETROV AND M. SCHATZMAN, A pseudodifferential linear complementarity problem related to a one dimensional viscoeleastic model with Signorini conditions, Arch. Ration. Mech. Anal., to appear.
    • Arch. Ration. Mech. Anal
    • PETROV, A.1    SCHATZMAN, M.2
  • 26
    • 0141947324 scopus 로고
    • A hyperbolic problem of second order with unilateral constraints: The vibrating string with a concave obstacle
    • M. SCHATZMAN, A hyperbolic problem of second order with unilateral constraints: The vibrating string with a concave obstacle, J. Math. Anal. Appl., 73 (1980), pp. 138-191.
    • (1980) J. Math. Anal. Appl , vol.73 , pp. 138-191
    • SCHATZMAN, M.1
  • 27
    • 33847331107 scopus 로고
    • Un problème hyperbolique du 2ème ordre avec contrainte unilatérale: La corde vibrante avec obstacle ponctuel
    • M. SCHATZMAN, Un problème hyperbolique du 2ème ordre avec contrainte unilatérale: La corde vibrante avec obstacle ponctuel, J. Differential Equations, 36 (1980), pp. 295-334.
    • (1980) J. Differential Equations , vol.36 , pp. 295-334
    • SCHATZMAN, M.1
  • 28
    • 0032144225 scopus 로고    scopus 로고
    • The restitution coefficient of a linear elastic rod
    • P. SHI, The restitution coefficient of a linear elastic rod, Math. Comput. Modelling, 28 (1998), pp. 427-435.
    • (1998) Math. Comput. Modelling , vol.28 , pp. 427-435
    • SHI, P.1
  • 29
    • 0034558053 scopus 로고    scopus 로고
    • Formulating measure differential inclusions in infinite dimensions
    • D. E. STEWART, Formulating measure differential inclusions in infinite dimensions, Set-Valued Anal., 8 (2000), pp. 273-293.
    • (2000) Set-Valued Anal , vol.8 , pp. 273-293
    • STEWART, D.E.1
  • 30
    • 33847280265 scopus 로고    scopus 로고
    • Differentiating complementarity problems
    • to appear
    • D. E. STEWART, Differentiating complementarity problems, Houston J. Math., to appear.
    • Houston J. Math
    • STEWART, D.E.1
  • 32
    • 0000849966 scopus 로고
    • On the correction for shear of the differential eqution for transverse vibrations of prismatic bars
    • S. TIMOSHENKO, On the correction for shear of the differential eqution for transverse vibrations of prismatic bars, Philosophical Magazine, 41 (1921), pp. 744-746.
    • (1921) Philosophical Magazine , vol.41 , pp. 744-746
    • TIMOSHENKO, S.1
  • 33
    • 0000868615 scopus 로고
    • On the transverse vibrations of bars of uniform cross-section
    • S. TIMOSHENKO, On the transverse vibrations of bars of uniform cross-section, Philosophical Magazine, 43 (1922), pp. 125-131.
    • (1922) Philosophical Magazine , vol.43 , pp. 125-131
    • TIMOSHENKO, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.