*Article* **Use of the AE Effect to Determine the Stresses State in AAC Masonry Walls under Compression**

**Radosław Jasi ´nski 1, Krzysztof Stebel 2,\* and Paweł Kielan <sup>3</sup>**

	- pawel.kielan@polsl.pl

**Abstract:** Safety and reliability of constructions operated are predicted using the known mechanical properties of materials and geometry of cross-sections, and also the known internal forces. The extensometry technique (electro-resistant tensometers, wire gauges, sensor systems) is a common method applied under laboratory conditions to determine the deformation state of a material. The construction sector rarely uses ultrasonic extensometry with the acoustoelastic (AE) method which is based on the relation between the direction of ultrasonic waves and the direction of normal stresses. It is generally used to identify stress states of machine or vehicles parts, mainly made of steel, characterized by high homogeneity and a lack of inherent internal defects. The AE effect was detected in autoclaved aerated concrete (AAC), which is usually used in masonry units. The acoustoelastic effect was used in the tests described to identify the complex stress state in masonry walls (masonry units) made of AAC. At first, the relationships were determined for mean hydrostatic stresses *P* and mean compressive stresses *σ*<sup>3</sup> with relation to velocities of the longitudinal ultrasonic wave *cp*. These stresses were used to determine stresses *σ*3. The discrete approach was used which consists in analyzing single masonry units. Changes in velocity of longitudinal waves were identified at a test stand to control the stress states of an element tested by the digital image correlation (DIC) technique. The analyses involved density and the impact of moisture content of AAC. Then, the method was verified on nine walls subjected to axial compression and the model was validated with the FEM micromodel. It was demonstrated that mean compressive stresses *σ*<sup>3</sup> and hydrostatic stresses, which were determined for the masonry using the method considered, could be determined even up to ca. 75% of failure stresses at the acceptable error level of 15%. Stresses *σ*<sup>1</sup> parallel to bed joints were calculated using the known mean hydrostatic stresses and mean compressive stresses *σ*3.

**Keywords:** masonry structures; autoclaved aerated concrete masonry units (AAC); compressive strength; minor-destructive (MDT) techniques; non-destructive (NDT) techniques; ultrasonic testing; acoustoelastic effect (AE); hydrostatic stresses; modeling; DIC technique
