Statistical size scaling of compressive strength of quasi-brittle materials incorporating specimen length-to-diameter ratio effect

摘要

Statistical size scaling of compressive strength of quasi-brittle materials demands to define a global stress parameter pertinent to the well accepted mechanism of shear stress induced fracture. The work proposes to adopt the resultant stress acting on the diagonal cross-section of a uniaxial compression specimen from one loading end to the other loading end in place of the conventional nominal compressive stress on two loading ends for statistical size scaling. As a result, the size effect on compressive strength is partitioned into specimen volume effect and specimen length-to-diameter ratio effect according to a recently developed formulation for the generalized weakest link statistics. This proposal is validated by three published data sets on the compressive strength of concrete, rock and four cohesive soils as preliminary case studies.