Stress Wave Propagation in a Gradient Elastic Medium
ZHAO Ya-Pu1, ZHAO Han2, HU Yu-Qun1,3
1State Key Laboratory of Non-linear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080
2University of Pierre & Marie Curie, Laboratoire de Mécanique et Technologie-Cachan, 61 Avenue du Président Wilson, 94235 Cachan Cedex, France
3Department of Aircraft, Nanjing University of Aeronautics and Astronautics, Nanjing 210016
Stress Wave Propagation in a Gradient Elastic Medium
ZHAO Ya-Pu1;ZHAO Han2;HU Yu-Qun1,3
1State Key Laboratory of Non-linear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080
2University of Pierre & Marie Curie, Laboratoire de Mécanique et Technologie-Cachan, 61 Avenue du Président Wilson, 94235 Cachan Cedex, France
3Department of Aircraft, Nanjing University of Aeronautics and Astronautics, Nanjing 210016
Abstract： The gradient elastic constitutive equation incorporating the second gradient of the strains is used to determine the monochromatic elastic plane wave propagation in a gradient infinite medium and thin rod. The equation of motion, together with the internal material length, has been derived. Various dispersion relations have been determined. We present explicit expressions for relationship among various wave speeds, wavenumber and internal material length.
2002, Vol. 19 
