This paper presents a dedicated numerical test that enables to assess the directional mesh bias of constitutive models in a systematic way. The test makes use of periodic boundary conditions, bywhichstrain localization can be analyzed for different mesh alignments with…
This paper presents a dedicated numerical test that enables to assess the directional mesh bias of constitutive models in a systematic way. The test makes use of periodic boundary conditions, bywhichstrain localization can be analyzed for different mesh alignments with preservation of mesh uniformity and with exclusion of boundary disturbances. After an exploratory study of the proposed test, the test is demonstrated by applying it to the classical andstill widely used crack band model. An analysis series is performed on five meshes with different alignments. The meshes consist of squared quadrilateral elements with varying interpolation function and numerical integration scheme. From the results it can be concluded that the test identifies a significant mesh-induced directional bias.