... solutions. This closed form solution is valuable for elastic analysis with material stiffness variations caused by temperature, moisture, aging effect, or material composition, and it can be used to perform early stage verification of more complex models of functionally graded materials. Comparison...

... 20 06 2002 damping resonance ageing Bessel functions crack-edge stress field analysis elasticity elastic constants stress analysis Multiple crack problems in plane elasticity were investigated by many investigators ( 1 2 3 ). A doubly periodic crack problem is a particular...

...T. J. Lardner The steady-state response of the classic mass-spring-dashpot model when the spring stiffness decays exponentially with time (an aging spring) and the system is excited by a forcing function whose frequency is equal to the natural frequency of the system with the constant initial...

... indentation hardness damping crack-edge stress field analysis elastoplasticity stress-strain relations resonance ageing Bessel functions yield strength anisotropic media Measurement of hardness involves loading a hard sphere, cone, or pyramid indenter into the surface of a material...