TY - JOUR
T1 - Approximate method for controlling solid elastic waves by transformation media
AU - Hu, Jin
AU - Chang, Zheng
AU - Hu, Gengkai
PY - 2011/11/2
Y1 - 2011/11/2
N2 - By idealizing a general mapping as a series of local affine ones, we derive approximately transformed material parameters necessary to control solid elastic waves within classical elasticity theory. The transformed elastic moduli are symmetric, and can be used with Navier's equation to manipulate elastic waves. It is shown numerically that the method can provide a powerful tool to control elastic waves in solids in case of high frequency or small material gradient. Potential applications can be anticipated in nondestructive testing, structure impact protection, petroleum exploration, and seismology.
AB - By idealizing a general mapping as a series of local affine ones, we derive approximately transformed material parameters necessary to control solid elastic waves within classical elasticity theory. The transformed elastic moduli are symmetric, and can be used with Navier's equation to manipulate elastic waves. It is shown numerically that the method can provide a powerful tool to control elastic waves in solids in case of high frequency or small material gradient. Potential applications can be anticipated in nondestructive testing, structure impact protection, petroleum exploration, and seismology.
UR - http://www.scopus.com/inward/record.url?scp=82655168178&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.84.201101
DO - 10.1103/PhysRevB.84.201101
M3 - Article
AN - SCOPUS:82655168178
SN - 1098-0121
VL - 84
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 20
M1 - 201101
ER -