POSTER

Wave Propagation Through Contact-Based Elastically Asymmetric Materials

MINES ParisTech, PSL - Research University, Centre des mat´eriaux, CNRS UMR 7633, BP 87 91003 Evry, France

Vladislav A. Yastrebov

Architectured materials with internal contacts Elastically

symmetric material

0

Tension Compression

Stress σ

xx

Strain ε

_xx

Wave Propagation Through Contact-Based Elastically Asymmetric Materials

MINES ParisTech, PSL - Research University, Centre des mat´eriaux, CNRS UMR 7633, BP 87 91003 Evry, France

Vladislav A. Yastrebov

Architectured materials with internal contacts

Soft-in-tension & stiff-in-compression

cut

Soft Stiff

0

Tension Compression

Stress σ

xx

Strain ε

_xx

Elastically

asymmetric materials Elastically

symmetric material

0

Tension Compression

Stress σ

xx

Strain ε

_xx

Wave Propagation Through Contact-Based Elastically Asymmetric Materials

MINES ParisTech, PSL - Research University, Centre des mat´eriaux, CNRS UMR 7633, BP 87 91003 Evry, France

Vladislav A. Yastrebov

Architectured materials with internal contacts

Soft-in-tension & stiff-in-compression

Soft Stiff

0

Tension Compression

Stress σ

xx

Strain ε

_xx

Elastically

asymmetric materials Elastically

symmetric material

0

Tension Compression

Stress σ

xx

Strain ε

_{xx Tension}

Wave Propagation Through Contact-Based Elastically Asymmetric Materials

MINES ParisTech, PSL - Research University, Centre des mat´eriaux, CNRS UMR 7633, BP 87 91003 Evry, France

Vladislav A. Yastrebov

Architectured materials with internal contacts

Soft-in-tension & stiff-in-compression

Soft Stiff

0

Tension Compression

Stress σ

xx

Strain ε

_xx

Elastically

asymmetric materials Elastically

symmetric material

0

Tension Compression

Stress σ

xx

Strain ε

_xx Compression

Contact

Wave Propagation Through Contact-Based Elastically Asymmetric Materials

MINES ParisTech, PSL - Research University, Centre des mat´eriaux, CNRS UMR 7633, BP 87 91003 Evry, France

Vladislav A. Yastrebov

Architectured materials with internal contacts

Stiff-in-tension & soft-in-compression

Soft Stiff

0

Tension Compression

Strain ε

_xx

Stress σ

xx

Soft-in-tension & stiff-in-compression

Soft Stiff

0

Tension Compression

Stress σ

xx

Strain ε

_xx

Elastically

asymmetric materials Elastically

symmetric material

0

Tension Compression

Stress σ

xx

Strain ε

_xx

Elastic wave propagation through asymmetric medium

Forcing at

frequency ω

₀

Absorbing

layer Absorbing

layer Stiff-in-tension

Soft-in-compression Symmetric

L

coordinate, x coordinate, x

time, t time, t tension compression reflection

c ^- c ^- < c ⁺ c ^-

c ^- c ^- < c ⁺ c ^-

Tensile wave precedes the compressive one Tensile wave follows the compressive one

Elastic wave propagation through asymmetric medium

Forcing at

frequency ω

₀

Absorbing

layer Absorbing

layer Stiff-in-tension

Soft-in-compression Symmetric

L

coordinate, x coordinate, x

time, t time, t tension compression reflection

c ^- c ^- < c ⁺ c ^-

c ^- c ^- < c ⁺ c ^-

Tensile wave precedes the compressive one Tensile wave follows the compressive one

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