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Emergence of bimodulus (tension–compression asymmetric) behavior modeled in granular micromechanics framework

Many materials exhibit a bimodulus behavior which manifests as tension–compression asymmetry under uniaxial loading conditions. From the viewpoint of engineering analyses and design, attempts have been made to properly account for this asymmetry by defining bimodulus models under various multiaxial loading conditions. The models available in the literature propose a complex set of cases valid for different combination of tensile/compressive loading characterized in either strain or stress spa...

A parametric study on a granular micromechanics continuum-based hemivariational approach: unraveling the emergence of critical states in granular materials

A numerical model was established in earlier work to investigate the macroscale critical state, which determines the mechanical behavior of sheared granular materials. This paper explores the behavior of this model by conducting a parametric study that varies the constitutive parameters over a wide range. This study is essential to define the combination of material parameters that will lead to the emergence of critical state along the classical response. According to the typical critical sta...

Seismic capacity of purely compressed shells based on Airy stress function

Purely compressed shells are often elegant and highly efficient structural forms, but this leanness may create risk if they are subjected to unexpected patterns and magnitudes of loading, such as may arise due to seismic events. In the same way that historic masonry structures were designed to sustain loads by activating purely compressive force paths, a modern metamaterial can be designed for specific purposes following the same logic. Conventional analysis methods for compression-only shell...

Different mechanical models for the study of ultrasonic wave dispersion for mechanical characterization of construction materials

It is well known from the literature that the phase velocity of waves is directly correlated with the stiffness of the material; however, experimental practice shows that this velocity changes significantly with varying frequencies, despite the fact that the elastic modulus of the material is, by definition, a material constant. We explore the dependence on the frequency of longitudinal ultrasonic plane waves velocity in construction materials, both from experimental and modeling points of vi...

Dynamic strain gradient brittle fracture propagation: comparison with experimental evidence

This paper presented a physico-mathematical model for dynamic fracture propagation in brittle materials with a purely continuum mechanics hemi-variational-based strain gradient theory. As for the quasi-static case, the simulation results, obtained by means of finite elements, revealed that strain gradient effects significantly affected the fracture propagation, leading to finite fracture thickness that was independent of the mesh size. It was also observed that nonsymmetric loading rate lead ...

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