附加应力的概率式解答

基于概率论的思想及几个基本概念，没有采用任何复杂的模型和假设，将岩土体内附加应力的传播扩散看做概率事件（相互独立且机会均等），推导了二维空间点荷载下附加应力的概率式解答，并延伸推导了二维空间均匀分布荷载下附加应力的概率式解答，且将两者推广到三维空间，最后与布辛内斯克解进行了（举例）比较，几种情形下的结果都非常接近，论证了概率式解答的思路和方法的合理性和可靠性。

Probabilistic solution to additional stress

Based on the basic concepts and principles of the theory of probability, the transfer of additional stress in geomaterials is viewed as a probability event, and without adopting any model and assumption the probabilistic solution to additional stress is derived under point loads in the two-dimensional space. Then the solution is extended to the uniform loading condition in the two-dimensional space. Furthermore, both of the proposed solutions are extended into the three-dimensional space. Finally, all these solutions are compared to the Boussinesq solution. The results match with each other very well, showing that the proposed probabilistic solution to additional stress in geotechnical media is reliable and reasonable.