A Chakraborty et al [1] have studied the thermo-elastic behavior of functionally graded beam structures based on the first-order shear deformation theory and these properties are varying along its thickness. The governing differential equations are used to construct interpolating polynomials for the element formulation. To determine various stresses, both exponential and power-law variations of material property distribution are used. Thermal behaviors of functionally graded beam (FGB) by taking the distribution of material properties in exponential function were analyzed by GH Rahimi and AR Davoodinik [2]. The steady state of heat conduction with exponentially and hyperbolic variations through the thickness were consider for the use of thermal loading. They found that thermal behavior of both isotropic beam and functionally graded beam depend up on the temperature distribution. J N Reddy et al. [3] have investigated the dynamic thermo-elastic response of functionally graded cylinders and plates. A finite element model of the formulation was developed for the formulation of thermo-mechanical coupling. They solved are the heat conduction and the thermo-elastic equations for a functionally graded axisymmetric cylinder subjected to thermal loading and thermo-elastic boundary value problem using the first-order shear deformation plate theory. Both problems are studied by varying the volume fraction of a ceramic and a metal using a power law distribution. B.V. Sankar [4] has
Load acts over outer circumference of on end of the cylinder, while the other end remains against a
This report has been written to describe an experiment performed on a channel section examining the stiffness of the beam through two differing types of deformation – curvature and deflection. The aim of the experiment was to determine the value of the flexural rigidity (EI) in two different ways; using the curvature, k, and the mid-span deflection. The testing method used for the experiment is described. The experiment found that the EI values calculated were as follows: - EIcurv = 1.76E+10 Mpa.mm4 when calculated using the curvature, k. - EIdefl
In 2016 alone, there were over 200,000 arrests made involving white collar crimes (UCR, 2016). Although white collar crime makes up less than 1% of all arrests made, it can cost its victims upwards of trillions of dollars in fiscal damages each year (ACFE, 2014). Despite its detrimental cost to its victims, very few theories are capable of explaining why white-collar crime takes place. General strain theory is one of the few theories capable of explaining the phenomenon of white collar crime, naming the presence of negative stimuli and goal blockage, among other factors, as central causes of criminality, despite the background or demographic of the offender. In The Wolf of Wall Street, Jordan Belfort grew up in a middle-class family, and turned
Despite criminology theories claiming that they are gender and race neutral we still see disparities in incarceration rates on a racial divide. Why do we see rising rates incarceration rates in Hispanics and African Americans representing over 50% of those rates? Is there a theory out there than can explain this occurrence in the criminal justice system? The intent of this paper is to explain why this disparity occurs using the General Strain Theory. I also intend to explain why Social Disorganization fails in explaining the racial gap in offending. Both of these theories encounter the issue of failing to fully explain why certain racial or ethnic groups are incarcerated more than other, however, due to empirical evidence it’s clear to see
Linear viscoelastic behaviour of the polymer composite with in the glass transition temperature can be addressed using cole-cole plot. Cole-cole plot is obtained by plotting loss modulus(E”) against
This assignment will explore the concept of stress by firstly distinguishing between the definitions set out by Selye 919560 and Cox (1976). Following this assignment will critically evaluate the General Adaption Syndrome, SRRS and Daily Hassles explanations of stress and finally, conclude with a discussion on individual differences based on Friedman and Rosenman’s research.
Following tables and graphs show the result of the experiment. The tables will demonstrate the experimental and theoretical deflection for each case. The graphs will show the relationship between the load applied and deflection, in addition to compare the experimental deflection and theoretical deflection.
However, the absence of plastic deformation does not mean that composites are brittle materials like monolithic ceramics. The heterogeneous nature of composites result in complex failure mechanisms which impart toughness. Fiber-reinforced materials have been found to produce durable, reliable structural components in countless applications. The unique characteristic of composite materials, especially anisotropy, require the use of special design
The study of large deflection of cantilever beam comes from theory of elasticity. Theory of elasticity state that “solid material will deform under the application of an external force it will again regain their original position when external force is removed is referred to as elasticity”. We took beam made of nickel titanium alloy which regain their original shape after removing external force act on the beam. It’s a prismatic circular cross section beam. Initial shape and curvature of nickel titanium alloy depend upon its length and self-weight of the beam large deflection of combined loading was proposed by kyongoo lee [1] finding deflection of non-linear elastic cantilever beam and solved governing equation using numerical integration of one- parameter shooting method. Bishop and drucker [2] investigate large deflection of cantilever beam of linear elastic material.
Throughout the lifetime of a living organism, it is exposed to many different types of stresses from the internal and external environment. In order to maintain homeostasis, cells must be poised to activate appropriate cellular stress responses to overcome the initial stress stimulus. Mitogen-activated protein kinase (MAPK) pathways are crucial among the major pathways that regulate stress responses. There are six conserved and ubiquitous MAPK signalling pathways in mammalian systems that coordinate and integrate responses to various stimuli. The architecture of each pathway is conserved, with the ‘core signalling module’ consisting of a phosphorylation cascade which is mediated by three classes of protein kinases: the MAPK kinase kinase (MAP3K), the MAPK kinase (MAP2K) and the MAPK. Within this pathway, the MAP3K is activated or inactivated by various stimuli resulting in the successive phosphorylation and activation of MAP2K, which in turn phosphorylates and activates MAPK. Activated MAPK’s then regulate the appropriate cellular responses by activating or inactivating cellular targets, such as other protein kinases or transcription factors. Due to the position of MAP3K’s at the apex of the ‘core signalling module’, it is important to understand their regulatory mechanisms as the MAPK pathway is dependent on their activation.
Ahlbeck et al. (as cited in Sun & Dhanasekar 2002)[4] point out that that stress distribution (stress response) under concrete sleeper is Trapezoidal shape uniformly until the foundation as demonstrated in Figure 2.1.1 and the stress distribution angle (internal friction angle) of the rail ballast has effect on the stiffness the damping of the upper and the lower divisions of the rail ballast.
This approach is called Solid Isotropic Material with Penalty (SIMP), in which material is assumed to be dependent upon density linearly. In accordance to the SIMP technique, the design variables are a sum of material densities denoted as (ρ) that relates the stiffness of an element straight to the density of that element (James , et al., 2014). According to (Gomes , et al., 2013) the three main mathematical encounters with SIMP method are mesh dependency, checkboard patterns and local minima. To compensate for mesh-dependency and checkboard patterns instabilities, a well-known sensitivity filter brought forth by Bendose Sigmund is used (Gomes , et al., 2013). The local minima problem is dealt with by a continuation method with various
In design aspect of any engineering structure, machinery and equipment, the stress concentration is one of the major considerations for the successful design as it can cause fracture to various mechanical components and the machine, structure may eventually get failed to function for the purpose it is supposed to be designed. The rectangular plate with holes and notches find its application in field of automobile, mechanical, aerospace and marine components. The presence of holes or notches in such components reduces the mechanical strength due to the large stress concentration near the holes or notches that causes the alleviation of fracture occurrence under service loads. Therefore, it is essential to study and analyse the state of stress around the holes and notches and also the load bearing capacity of these structures or machine components for the optimum design with safe life of component [1].The cause of highly localized or accumulation of stress near the change of cross section or clustering of stress lines at the point of discontinuity is termed as stress concentration [2].The principal cause of stress raisers like holes & notches, because concentrated stresses larger than theoretical cohesive strength will generally cause local plastic deformation and redistribution of stresses [3].There are different ways of determining the stress concentration factor in flat plates. Experimental, numerical and analytical methods are used to determine stress
The fundamental concept of the finite element method is that a physical domain is discretised into a small number of sub-domains, known as elements, over which a continuous field variable such as velocity, stress, pressure, or temperature can be approximated. These elements are connected at specific points known as nodes or nodal points. Since the actual variation of the field variable is not known inside the domain, approximating functions are needed to describe this variation. These approximating functions interpolate the values of the field variable at the nodal points of each element. Since the geometric and the required material properties of each element are known, suitable field equations can be easily developed.
This work presents a novel formulation for a Voronoi-type cellular material with in-plane anisotropic behaviour, showing global positive and negative Poisson’s ratio effects under uniaxial tensile loading. The effects of the cell geometry and relative density over the global stiffness, equivalent in-plane Poisson’s ratios and shear modulus of the Voronoi-type structure are evaluated with a parametric analysis. Empirical formulas are identified to reproduce the mechanical trends of the equivalent homogeneous orthotropic material representing the Voronoi-type structure and its geometry parameters.