Abstract: The EMERGENCY RESPONSE MANAGEMENT APPARATUSES, METHODS AND SYSTEMS (“ERMS”) transform emergency related inputs and sensor information into a threat indication category, which is distributed to individuals and/or first responders for managing the threat. In one implementation, the method includes an emergency management processor-implemented method that receives sensor readings from one or more sensor devices and generates risk factors for the at least one sensor device. The generated risk factors are then curve fitted to a plurality of statistical distribution curves including both non-extreme and extreme statistical distributions, wherein each of the statistical distribution curves is indicative of a threat category. The threat category is then determined based on the generated risk factors that provide a best fit with one of the plurality of statistical distribution curves.

Abstract: Stress, strain and displacement in two-dimensional regions can be calculated by computerized techniques. In the x-y plane, a region is discretized into four-node finite elements such as quadrilaterals and triangles with side nodes. Each such element has eight distinct deformation modes. These correspond to three rigid-body displacements, three uniform strain profiles for compressible materials or two deviatoric strain fields accompanied by an isotropic pressure for incompressible materials, and two flexures. Pointwise equilibrium requires the bending shapes to be functions of Poisson's ratio. Nodal equilibrium and compatibility are satisfied for prescribed loads implementing exact differentiation and integration.