The methodology refinement through the predominant case of the pile-up to estimate the mechanical response by spherical indentation.

The purpose of this work is to probe the analytical formulation of the mechanical response [Formula: see text], which is the consequence of determining the connection between charge and depth values. It is possible to acquire the [Formula: see text] expression by doing an indentation experiment while the loading process is unfolding. In this particular piece of research, the formulation of [Formula: see text] takes into consideration the pile-up mode for an indenter with a spherical structure.

Numerical simulation of a forced circulation solar water heating system.

This study presents a sophisticated numerical simulation model for a forced circulation solar water heating system (FC-SWHs), specifically designed for the unique climatic conditions of Algeria. The model aims to cater to the hot water needs of single-family houses, with a daily consumption of 246 L. Utilizing a dynamic approach based on TRNSYS modeling, the system's performance in Ain Temouchent's climate was scrutinized.