The following propositions are true: (1) Let X be a set, p be a permutation of X, and x, y be elements of X. Then p +· (x, p(y)) +· (y, p(x)) is a permutation of X. (2) Let f be a function and x, y be sets. Suppose x ∈ dom f and y ∈ dom f. Then there exists a permutation p of dom f such that f +· (x, f(y)) +· (y, f(x)) = f · p. Let X be a finite non empty subset of R. The functor minX yielding ...

In this manuscript, the computational homogenisation of phase-field fractures is addressed. To end, a variationally consistent two-scale fracture framework developed, which formulates coupled momentum balance and evolution equations at macro-scale as well Representative Volume Element (RVE1) scale. The variable represent RVE scale, however, macro-scale, it treated an auxiliary variable. latter ...

MzScheme’s continuation marks provide a flexible mechanism for implementing a number of useful language features and tools. We demonstrate the simplicity and utility of continuation marks by adapting them for JavaScript as frame-based stack marks using the Rhino implementation, showing a simple model of their behavior, and using them to build a toy debugger. Along the way, we discover a few int...

Detailed finite element modeling of the human body offers a potential major enhancement to the prediction of injury risk during vehicle impacts. Currently, vehicle crash safety countermeasure development is based on a combination of testing with established anthropomorphic test devices (i.e., ATD or dummy) and a mixture of multi­ body (dummy) and finite element (vehicle) modeling. If a relative...

in this paper the factors having influence on travel demand to iran are paper explored. the hypothesis of the research specifies the variable of “domestic upheavals and insecurity” as the most significant obstacle to expansion of the demand for travel to iran. to test the above hypothesis, first several demand models that have been proposed to study demand for tourism in different countries, ar...

Multi-scale interactions between initially planar deformation waves in heterogeneous energetic solids and macro-scale boundaries were computationally examined to characterize wave interaction structures and dissipative heating responsible for combustion initiation. The macro-scale response was described by a continuum theory that accounts for elastic and inelastic volumetric deformation in a th...

Abstract. Since the multi-scale finite element analysis (FEA) requires large computation time, development of the parallel computing technique for the multi-scale analysis is inevitable. A parallel elastic/crystalline viscoplastic FEA code based on a crystallographic homogenization method has been developed using PC cluster. The homogenization scheme is introduced to compute macro-continuum pla...

Phosphate and sulfate are essential macro-elements for plant growth and development, and deficiencies in these mineral elements alter many metabolic functions. Nutritional constraints are not restricted to macro-elements. Essential metals such as zinc and iron have their homeostasis strictly genetically controlled, and deficiency or excess of these micro-elements can generate major physiologica...

Access to a pool of talented employees is an important element of entrepreneurial firms’ ability to build innovative capabilities. Through an empirical examination of two European biotechnology clusters – Cambridge, UK, and Munich, Germany – we investigate the degree to which macro-labor market institutions shape the micro-dynamics of career affiliation networks between scientific employees. Us...

Proof-of-concept computational models were developed and applied as tools to gain insights into biomechanical interactions and variations of oxygen gradients of wounded tissue subject to negative pressure wound therapy (NPWT), following trans-femoral amputation. A macro-scale finite-element model of a lower limb was first developed based on computed tomography data, and distributions of maximum...