This study proposes a novel numerical method based on the body force method to calculate the mode I stress intensity factor (SIF) for a deep surface crack perpendicular to a free surface. The crack is subjected to an internal pressure that is uniform in its depth direction and varies across its width direction according to a power-law distribution of coordinate variable. A key feature of this method is the introduction of a new fundamental density function based on the corresponding COD of a two-dimensional crack under plane strain conditions and subjected to the same internal power-law pressure distribution. This approach ensures a stable and highly accurate analysis, even for high-order internal-pressure distributions, by incorporating an analytical solution into the numerical scheme. After validating the strategy, a parametric study was performed. The influences of the Poisson’s ratio and the pressure power-law exponent on the mode I SIF distribution along the crack front, including its maximum values and their depths, were systematically computed, and the results were shown graphically.
For high voltage applications, a novel hybrid solid-state Marx generator (HSSMG) realizing three-phase Fibonacci operations is presented in this paper. Unlike traditional SSMG, the proposed HSSMG with a single inductor is controlled by three-phase clock pulses in order to generate a high voltage with small component count. The key point of the proposed topology is the fusion of a Fibonacci generator and a boost converter controlled by three-phase clock pulses. The proposed HSSMG provides a higher output voltage than the traditional SSMG by boosting the output of the Fibonacci module by the boost module. The characteristics of the proposed HSSMG is clarified through theoretical analysis, computer simulations, and laboratory experiments. A comparative analysis revealed that the proposed HSSMG can reduce the component count by A comparative analysis revealed that the proposed HSSMG can reduce the component count by about half compared to the traditional SSMG when the voltage gain is 6 times compared to the traditional SSMG when the voltage gain is 6 times. The SPICE simulations showed the power efficiency of the proposed HSSMG reaches more than 86
