Stress field

About: Stress field is a research topic. Over the lifetime, 11926 publications have been published within this topic receiving 226417 citations.

Dynamic stress concentration studies by boundary integrals and Laplace transform

Abstract: The dynamic stress field and its concentrations around holes of arbitrary shape in infinitely extended bodies under plane stress or plane strain conditions are numerically determined. The material may be linear elastic or viscoelastic, while the dynamic load consists of plane compressional waves of harmonic or general transient nature. The method consists of applying the Laplace transform with respect to time to the governing equations of motion and formulating and solving the problem numerically in the transfomed domain by the boundary integral equation method. The stress field can then be obtaind by a numerical inversion of the trasformed solution. The correspondence principle is invoked for the case of viscoelastic material behavious. The method is simplified for the case of harmonic waves where no numerical inversion is involved.

Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading

Abstract: The dynamic response of an elastic pile subjected to transient torsional and axial loading is considered. The pile is embedded in a multi-layered elastic soil. The stress field in a soil is simplified by following the existing solutions for a pile subjected to static torsional and axial loading. The dynamic equilibrium equation of soil is solved in the Laplace domain by using analytical techniques. The soil resistance is coupled into a one-dimensional governing equation of a pile segment and an analytical solution is presented. An impedance matrix can then be derived for a pile segment relating end stress resultants to the displacements. Non-homogeneous initial conditions of the pile are considered. The impedance matrices of pile segments are assembled by following the concepts of finite element method to analyse a pile embedded in a multi-layered soil. The treatment of soil base response is also discussed. Time domain solutions are obtained by using a numerical Laplace inversion procedure. The extension ...

On the uniqueness of plane elastodynamic solutions for running cracks

Abstract: Modifications of the linear elastodynamic uniqueness theorem are presented which extend its range of applicability so as to include running crack solutions. First, it is shown that the near tip stress field for running cracks has universal spatial dependence in a coordinate system local to the crack tip. The rate at which energy is absorbed by the running crack can then be calculated in terms of the crack motion and the scalar stress intensity factors. The fact that this rate of energy absorption is positive for any running crack plays a central role in the subsequent proof of the uniqueness theorem. The results apply for arbitrary motion of a curved crack, provided that the crack tip speed is less than the Rayleigh wave speed of the material.

An analysis of the crack tip stress field in DCB adhesive fracture specimens

Abstract: The problem of a cracked adhesive bonded DCB-type fracture specimen has been analyzed using a hybrid stress model finite element analysis which incorporates an advanced crack tip element. Stresses in the near and far fields have been studied as a function of adherend/adhesive modulus ratio and adhesive thickness. The results are compared to monolithic systems with regard to the stress intensity factor and the localization of the singular stress domain associated with the crack tip.