Typically, the elastic and electrical properties of composite materials are strongly microstruc-ture dependent. So it comes as a nice surprise to come across exact formulae for eeective moduli that are universally valid no matter what the microstructure. Such exact formulae provide useful benchmarks for testing numerical and actual experimental data, and for evaluating the merit of various appr...

Typically, the elastic and electrical properties of composite materials are strongly microstructure dependent. So it comes as a nice surprise to come across exact formulae for effective moduli that are universally valid no matter what the microstructure. Such exact formulae provide useful benchmarks for testing numerical and actual experimental data, and for evaluating the merit of various appr...

Abstract Similar to Poisson’s effect, mechanical coupling is a directional indirect response by input loading. With the advance in manufacturing techniques of 3D complex geometry, architected materials with unit cells finite volume rather than point yield more degrees-of-freedom and foster exotic couplings such as axial–shear, axial–rotation, axial–bending, axial–twisting. However, most structu...

PURPOSE Continuous monitoring of liver fibrosis progression in patients is not feasible with the current diagnostic golden standard (needle biopsy). Recently, magnetic resonance elastography (MRE) has emerged as a promising method for such continuous monitoring. Since there are different MRE methods that could be used in a clinical setting there is a need to investigate whether measurements pro...

In this paper, we construct, in a unified fashion, lower order finite element subspaces of spaces of symmetric tensors with square-integrable divergence on a domain in any dimension. These subspaces are essentially the symmetric H(div) − Pk (1 ≤ k ≤ n) tensor spaces, enriched, for each n − 1 dimensional simplex, by (n+1)n 2 H(div) − Pn+1 bubble functions when 1 ≤ k ≤ n − 1, and by (n−1)n 2 H(di...

iv " Ready comprehension is often a knee-jerk response and the most dangerous form of understanding. It blinks an opaque screen over your ability to learn. Be warned. Understand nothing. All comprehension is temporary. " [8] v ABSTRACT To find a shape in an image, a technique called snakes or active contours can be used. An active contour is a curve that moves towards the sought-for shape in a ...

Red Blood Cell (RBC) suspended in aquatic buffer is trapped and deformed by the dual-beam optical tweezers in order to measure the elasticity of the cell’s membrane. In this experiment, the RBCs were in the natural form of biconcave disc shape. We modeled a highly focused trapping beam of numerical aperture NA=1.25 as a spherical wave with Gaussian intensity distribution in a stationary study m...

We introduce and study some scalable domain decomposition preconditioners for cardiac electro-mechanical 3D simulations on parallel HPC (High Performance Computing) architectures. The electro-mechanical model of the cardiac tissue is composed of four coupled sub-models: (1) the static finite elasticity equations for the transversely isotropic deformation of the cardiac tissue; (2) the active te...

Research results on 3D modeling of the diamond grain and its bearing layer when sintering diamond grinding wheels are provided in this paper. The influence of the main characteristics of the wheel materials and the wheel production process, namely the quantity of metallic phase within diamond grain, coefficient of thermal expansion of the metallic phase, the modulus of elasticity of bond materi...