Digital terrain models can be created by gathering a set of measurements from geometric objects. For various reasons, these models may be incomplete such that fail to meet the requirements defined by their potential applications. In this work, we develop a novel multiresolution approach to repair the voids commonly found in digital elevation models (DEM). We use the overall shape and structure ...

The objective of this article is to present a semiotic analysis of void— which in this article is the spacio-temporal empty space existing in any representation—in order to consider the representation of quality and to show how this is essential in human representation yet difficult to process computationally. First, a summary of reference to void is presented through a comparison between Weste...

We apply the HotQC method of Kulkarni et al. (J Mech Phys Solids 56:1417–1449, 2008) to the study of quasistatic void growth in copper single crystals at finite temperature under triaxial expansion. The void is strained to 30% deformation at initial temperatures and nominal strain rates ranging from 150 to 600K and from 2.5×105 to 2.5×1011 s−1, respectively. The interatomic potential used in th...

Two-dimensional, nonequilibrium molecular dynamics simulations have been applied to study the structure of thin films grown on single-crystal Lennard-Jones substrates. The principal microstructural features to develop within these films are single vacancies and small voids which tend to be slightly elongated and to be aligned in the growth direction. Both the void volume and the mean surface ro...

Ductile fracture is the macroscopic result of a micromechanical process consisting in void nucleation and growth to coalescence. While growing in size, voids also evolve in shape because of the non-uniform deformation field in the surrounding material; this shape evolution is either disregarded or approximately accounted for by constitutive laws for porous-plastic solids. To assess the effect o...

The void network and vascular system are important pathways for the transport of gases, water and solutes in apple fruit (Malus × domestica Borkh). Here we used X-ray micro-tomography at various spatial resolutions to investigate the growth of these transport structures in 3D during fruit development of "Jonagold" apple. The size of the void space and porosity in the cortex tissue increased con...

Numerical simulations of cyclic biaxial tests were performed on samples with polygonal particles having aspect ratios (AR) equal to 1 up to 3 to better understand the cyclic behaviour of granular materials. The samples are created by deposit under gravity leading to the existence of an inherent anisotropy. Nevertheless, for the sample with AR equal to 1, numerical tests were also performed from...

The growth and deformation of a spheroidal void in an infinite viscous matrix is addressed. In the case of a linearly viscous (newtonian) matrix (c = ke), an exact solution is obtained. On the basis of this solution the case of a power law viscoplastic matrix ( o = ke ) is dealt with by a variational approach. Finally, the Galerkine method is used to take into account inertia effects. This work...

We apply the HotQC method of Kulkarni et al. (J Mech Phys Solids 56:1417–1449, 2008) to the study of quasistatic void growth in copper single crystals at finite temperature under triaxial expansion. The void is strained to 30% deformation at initial temperatures and nominal strain rates ranging from 150 to 600K and from 2.5×105 to 2.5×1011 s−1, respectively. The interatomic potential used in th...