HARMONIC-WAVES IN AN ELASTIC SOLID CONTAINING A DOUBLY PERIODIC ARRAY OF CRACKS

被引:28
作者
ANGEL, YC [1 ]
ACHENBACH, JD [1 ]
机构
[1] NORTHWESTERN UNIV,DEPT CIVIL ENGN,EVANSTON,IL 60201
关键词
MATHEMATICAL TECHNIQUES - Differential Equations - SOLIDS - Fracture;
D O I
10.1016/0165-2125(87)90026-6
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The propagation of time-harmonic longitudinal waves in a solid containing a periodic distribution of cracks is investigated in a two-dimensional configuration. For normal incidence, a dispersion equation is obtained. The derivation is based on the assumptions that the frequency is below a certain cut-off frequency and that the cracked planes, y equals 2nh, are sufficiently distant from each other. These assumptions allow one to view the cracked planes as planes of homogeneous reflection and transmission. The reflection and transmission coefficients corresponding to a planar array of cracks are used to obtain numerical results. Dispersion curves are plotted for three values of the spacing between the cracked planes. An important feature of the results is the presence of passing and stopping bands.
引用
收藏
页码:377 / 385
页数:9
相关论文
共 10 条
[1]   HARMONIC-WAVES IN A SOLID WITH A PERIODIC DISTRIBUTION OF SPHERICAL CAVITIES [J].
ACHENBACH, JD ;
KITAHARA, M .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1987, 81 (03) :595-598
[2]   PROPAGATION OF HORIZONTALLY POLARIZED TRANSVERSE-WAVES IN A SOLID WITH A PERIODIC DISTRIBUTION OF CRACKS [J].
ACHENBACH, JD ;
LI, ZL .
WAVE MOTION, 1986, 8 (04) :371-379
[3]   REFLECTION AND TRANSMISSION OF ELASTIC-WAVES BY A PERIODIC ARRAY OF CRACKS [J].
ANGEL, YC ;
ACHENBACH, JD .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1985, 52 (01) :33-41
[4]  
Brillouin L., 1953, WAVE PROPAGATION PER
[5]   ADDITION [J].
DELAMETER, WR .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1977, 44 (01) :190-190
[6]   WEAKENING OF AN ELASTIC SOLID BY A RECTANGULAR ARRAY OF CRACKS [J].
DELAMETER, WR ;
HERRMANN, G ;
BARNETT, DM .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1975, 42 (01) :74-80
[7]   HARMONIC WAVE-PROPAGATION IN A PERIODICALLY LAYERED, INFINITE ELASTIC BODY - ANTIPLANE STRAIN [J].
DELPH, TJ ;
HERRMANN, G ;
KAUL, RK .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1978, 45 (02) :343-349
[8]   HARMONIC WAVE-PROPAGATION IN A PERIODICALLY LAYERED, INFINITE ELASTIC BODY - PLANE-STRAIN, ANALYTICAL RESULTS [J].
DELPH, TJ ;
HERRMANN, G ;
KAUL, RK .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1979, 46 (01) :113-119
[9]  
Ince E. L., 1956, ORDINARY DIFFERENTIA
[10]  
Tada H., 2000, STRESS ANAL CRACKS H, V3rd ed.