Large Deformation Analysis of Rubber by Software Fusion 360

This paper articulates you the large deformation procedure of a rubber sheet. Nowadays, material selection of a component is very important as per the trend and compact ability, materials like rubber nitrile, rubber silicone is considered for the structural analysis of rubber. By the application of Fusion 360 software with the boundary conditions, the parameters like stress, strain and deformation is known for the specific material. Keywords: Fusion 360, rubber, silicone, nitrile, stress, strain, deformation.

On a gauge-invariant deformation of a classical gauge-invariant theory

We consider a general gauge theory with independent generators and study the problem of gauge-invariant deformation of initial gauge-invariant classical action. The problem is formulated in terms of BV-formalism and is reduced to describing the general solution to the classical master equation. We show that such general solution is determined by two arbitrary generating functions of the initial fields. As a result, we construct in explicit form the deformed action and the deformed gauge generators in terms of above functions. We argue that the deformed theory must in general be non-local. The developed deformation procedure is applied to Abelian vector field theory and we show that it allows to derive non-Abelain Yang-Mills theory. This procedure is also applied to free massless integer higher spin field theory and leads to local cubic interaction vertex for such fields.

Pre-Deformation Method for Manufactured Compressor Blade Based on Load Incremental Approach

The blade deformation caused by aerodynamic and centrifugal loads during operating makes blade configurations different from their stationary shape. Based on the load incremental approach, a novel pre-deformation method for cold blade shape is provided in order to compensate blade deformation under running. Effect of nonlinear blade stiffness is considered by updating stiffness matrix in response to the variation of blade configuration when calculating deformations. The pre-deformation procedure is iterated till a converged cold blade shape is obtained. The proposed pre-deformation method is applied to a transonic compressor rotor. Effect of load conditions on blade pre-deformation is also analyzed. The results show that the pre-deformation method is easy to implement with fast convergence speed. Neither the aerodynamic load nor centrifugal load can be neglected in blade pre-deformation.

New lump-like structures in models with hyperbolic interactions

We investigate lump-like solutions in models described by a single real scalar field with non-polynomial interactions in (1, 1) dimensions. We start with a model that supports kink-like solutions and then use the deformation procedure to obtain families of models with hyperbolic interactions. The results show that depending on the values of the parameters, the models can support lump-like and kink-like solutions. We illustrate our findings, constructing new models and examining their solutions, energy densities, stability potentials and zero modes.

Analytical and experimental investigation of deformation in constrained groove pressing process

Constrained groove pressing process is a severe plastic deformation method, which can improve the properties of a metal sheet. The purpose of this research is to investigate the effect of deformation behavior and effective strain on the constrained groove pressed sheet properties. For this aim, deformation procedure and effective strain were investigated based on analytical relations and deformation geometry. Formation in the constrained groove pressing process was divided into the bending, stretching, and pressing sections, and the respective contribution of each in the formation procedure was evaluated. Then, the effect of main sections on the formation force, mechanical properties, and microstructure of constrained groove pressed sheets was determined by an experimental study. According to the analytical results, about 41.4% of the formation procedure occurs in the pressing section, creating 70% more effective strain than stretching section. Thus, the pressing section has a significant effect on the properties of constrained groove pressed sheets. The pressing section, due to more effective strain than the stretching section, creates 36% more yield strength, 14.6% more surface hardness, 37.6% more homogeneity and 22.6% smaller grain size. But, compared to the stretching section, the pressing section reduces elongation about 42.8%. So, to produce sheets with high ultimate strength and good formability, using the constrained groove pressing process in the stretching section is more effective.

Kinks and branes in models with hyperbolic interactions

In this work, we investigate several models described by a single real scalar field with nonpolynomial interactions, constructed to support topological solutions. We do this using the deformation procedure to introduce a function which allows to construct two distinct families of hyperbolic potentials, controlled by three distinct parameters, in the standard formalism. In this way, the procedure allows us to get analytical solutions, and then investigate the energy density, linear stability and zero mode. We move on and introduce a nonstandard formalism to obtain compact solutions, analytically. We also investigate these hyperbolic models in the braneworld context, considering both the standard and nonstandard possibilities. The results show how to construct distinct braneworld models which are implemented via the first-order formalism and are stable against fluctuation of the metric tensor.