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Mechanics of Materials

Volumn 41, Issue 4, 2009, Pages 385-393

Exact effective relations for dynamics of a laminated body

(1) Willis, J R a

a UNIVERSITY OF CAMBRIDGE (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMICS; ELECTROMAGNETIC WAVE PROPAGATION; LAMINATING; MATHEMATICAL OPERATORS; VARIATIONAL TECHNIQUES;

APPLIED MECHANICS; CONSTITUTIVE RELATIONS; DYNAMIC PROBLEMS; EFFECTIVE DENSITIES; EFFECTIVE MEDIUMS; EFFECTIVE MODULUS; ELASTIC MEDIAS; ELASTO-DYNAMICS; ENSEMBLE AVERAGES; FLOQUET THEORIES; MEAN STRAINS; MEAN STRESS; MEAN VELOCITIES; MOMENTUM DENSITIES; NEW YORK; NEWTON'S SECOND LAWS; NON LOCALS; ONE-DIMENSIONAL; OVERALL PROPERTIES; PERIODIC MICROSTRUCTURES; PROPAGATION OF ELECTROMAGNETIC WAVES; RANDOM MEDIUMS; SPACE AND TIME; VARIATIONAL PRINCIPLES; WAVE MOTIONS;

MICROSTRUCTURE;

EID: 62649103708 PISSN: 01676636 EISSN: None Source Type: Journal
DOI: 10.1016/j.mechmat.2009.01.010 Document Type: Article

Times cited : (127)

References (9)

1
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- Microstructurally-based homogenization of electromagnetic properties of periodic media
- Amirkhizi A.V., and Nemat-Nasser S. Microstructurally-based homogenization of electromagnetic properties of periodic media. C.R. Mécanique 336 (2008) 24-33
- (2008) C.R. Mécanique , vol.336 , pp. 24-33
- Amirkhizi, A.V.¹ Nemat-Nasser, S.²

2
- 0004047791
- Scottish Academic Press, Edinburgh and London
- Eastham M.S.P. The Spectral Theory of Periodic Differential Equations (1973), Scottish Academic Press, Edinburgh and London
- (1973) The Spectral Theory of Periodic Differential Equations
- Eastham, M.S.P.¹

3
- 0033723820
- Bounds on non-local effective relations for random composites loaded by configuration-dependent body force
- Luciano R., and Willis J.R. Bounds on non-local effective relations for random composites loaded by configuration-dependent body force. J. Mech. Phys. Solids 48 (2000) 1827-1849
- (2000) J. Mech. Phys. Solids , vol.48 , pp. 1827-1849
- Luciano, R.¹ Willis, J.R.²

4
- 35348914187
- On modifications of Newton's second law and linear continuum elastodynamics
- Milton G.W., and Willis J.R. On modifications of Newton's second law and linear continuum elastodynamics. Proc. R. Soc. A 463 (2007) 855-880
- (2007) Proc. R. Soc. A , vol.463 , pp. 855-880
- Milton, G.W.¹ Willis, J.R.²

5
- 33750380823
- On cloaking for elasticity and physical equations with a transformation invariant form
- (20 pages)
- Milton G.W., Briane M., and Willis J.R. On cloaking for elasticity and physical equations with a transformation invariant form. New J. Phys. 8 (2006) 248 (20 pages)
- (2006) New J. Phys. , vol.8 , pp. 248
- Milton, G.W.¹ Briane, M.² Willis, J.R.³

6
- 33645743042
- Homogenization of metamaterials by field averaging
- Smith D.R., and Pendry J.B. Homogenization of metamaterials by field averaging. J. Opt. Soc. Am. B23 (2006) 391-403
- (2006) J. Opt. Soc. Am. , vol.B23 , pp. 391-403
- Smith, D.R.¹ Pendry, J.B.²

7
- 0019697033
- Variational and related methods for the overall properties of composites
- Yih C.S. (Ed), Academic Press, New York
- Willis J.R. Variational and related methods for the overall properties of composites. In: Yih C.S. (Ed). Advances in Applied Mechanics vol. 21 (1981), Academic Press, New York l-78
- (1981) Advances in Applied Mechanics , vol.21
- Willis, J.R.¹

8
- 0019441738
- Variational principles for dynamic problems for inhomogeneous elastic media
- Willis J.R. Variational principles for dynamic problems for inhomogeneous elastic media. Wave Motion 3 (1981) 1-11
- (1981) Wave Motion , vol.3 , pp. 1-11
- Willis, J.R.¹

9
- 0021387058
- Variational principles and operator equations for electromagnetic waves in inhomogeneous media
- Willis J.R. Variational principles and operator equations for electromagnetic waves in inhomogeneous media. Wave Motion 6 (1984) 127-139
- (1984) Wave Motion , vol.6 , pp. 127-139
- Willis, J.R.¹

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