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Organisationseinheit der BAM
The stress–strain behavior of ceramics, such as aluminum titanate, has certain features that are unusual for brittle materials—in particular, a substantial nonlinearity under uniaxial tension, and load–unload hysteresis caused by the sharp increase of the incremental stiffness at the beginning of unloading. These features are observed experimentally and are attributed to microcracking. Here we compare different degrees of stress–strain nonlinearity of aluminum titanate materials and quantitatively model them. We use advanced mechanical testing to observe the mechanical response at room and high temperature; electron microscopy, and X-ray refraction radiography to observe the microstructural changes. Experiments show that two types of microcracks can be distinguished: (i) microcracks induced by cooling from the sintering temperature (due to heterogeneity and anisotropy of thermal expansion), with typical sizes of the order of grain size, and (ii) much larger microcracks generated by the mechanical loading. The two microcrack types produce different effects on the stress–strain curves. Such microcracks and the features of the stress–strain behavior depend on the density of the cooling-induced microcracks and on the distribution of grain sizes. They are modeled analytically and numerically.
The stress-strain behavior of microcracked polycrystalline materials (such as ceramics or rocks) underconditions of tensile, displacement-controlled, loading is discussed. Micromechanical explanation andmodeling of the basic features, such as non-linearity and hysteresis in stress-strain curves, is developed,with stable microcrack propagation and “roughness” of intergranular cracks playing critical roles. Ex-periments involving complex loading histories were done on large- and medium grain sizeb-eucryptiteceramic. The model is shown to reproduce the basic features of the observed stress-strain curves.
We discuss the non-linear stress–strain behavior of microcracked polycrystalline ceramics under uniaxial tension and compression (displacement control).
Micromechanics explanation and modeling of its basic features, such as non-linearity and hysteresis in stress–strain curves, are developed, with stable microcrack propagation and “roughness” of intergranular cracks playing critical roles in tension and crack sliding playing a critical role in compression. Experiments involving complex loading histories are explained, and themodel is shown to reproduce the basic features of the observed stress–strain curves.
Porous microcracked ceramics under comporession: Micromechanical model of non-linear behavior
(2013)
Stressstrain curves for porous microcracked ceramics (such as aluminum titanate) under compression exhibit non-linearity, hysteresis, and a sharp increase in stiffness when changing from loading to unloading. A micromechanical model is developed that expresses these features in terms of porosity and crack density. The mentioned features are linked, in a quantitative way, to closures and frictional sliding of microcracks. The model also allows one to extract information on crack densities from stressstrain curves, which provides insight into the evolution of open, closed and sliding cracks. The model is approximate due to uncertainty factors, but its predictions are generally in agreement with the data and the information conveyed by SEM images.