In this study, an analysis of the perturbation factors and fractional order derivatives is
performed for the novel singular model. The design of the perturbed fractional order singular …

One of the state-of-the-art strategies for predicting crack propagation, nucleation, and
interaction is the phase-field approach. Despite its reliability and robustness, the phase-field …

This work presents a rigorous mathematical formulation for topology optimization of a macro
structure undergoing ductile failure. The prediction of ductile solid materials which exhibit …

Accurately predicting the fatigue failure of lithium-ion battery electrode particles during
charge–discharge cycles is essential for enhancing their structural reliability and lifespan …

The influence of a wet environment on the fatigue behaviour of high-strength concrete has
become more important in recent years with the expansion of offshore wind energy systems …

The current study shows a novel singular perturbed delay third order model (NSPD-TOM)
with its two categories using the conventional Lane-Emden mathematical model. The …

In this work, we are interested in parameter estimation in fractured media using Bayesian
inversion. Therein, to reduce the computational costs of the forward model, a nonintrusive …

Despite substantial advancements in optimizing structural designs for stiffness, the field of
design against fracture is still in its early stages. This paper introduces a fundamental and …

To gain better insights into the structural reliability of lithium-ion battery electrodes and the
nucleation as well as propagation of cracks during the charge and discharge cycles, it is …

Electro-active materials are classified as electrostrictive and piezoelectric materials. They
deform under the action of an external electric field. Piezoelectric material, as a special class …