Abstract
A superposition scheme is proposed to obtain a fundamental solution for boundary elements in multi-layered elastic media. A three-layered elastic region is obtained by superposing two sets of bonded half-planes and subtracting one infinite plane. Therefore, the solution for an element in a layered media can be expressed in terms of bonded half-plane solutions and an infinite-plane solution. The major advantages of this superposition scheme are: (1) it is unnecessary to introduce elements at the interface, (2) it can be extended to higher-order element, and (3) it may be applicable to three dimensions easily. The accuracy and performance of the developed model is illustrated by two examples. For the problem of a pressurized two-dimensional crack within a three-layered system, the comparison with other numerical results shows the model is quite accurate and efficient. The model is also used for a study of a practical two-dimensional mining problem in South Africa, i.e. stoping through a dyke with material properties different from the host rock. Copyright © 2000 John Wiley & Sons, Ltd.
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