Tarek I. Zohdi Livres

Focusing on computational micromechanics, this book offers a thorough introduction to the field, covering essential topics such as homogenization theory, microstructural optimization, and multifield analysis of heterogeneous materials. It highlights the growing importance of modern numerical methods due to advancements in computational power. Aimed at researchers, engineers, and first-year graduate students in applied sciences, mechanics, and mathematics, it serves as a valuable resource for those interested in the computational analysis of new materials.

Focusing on the fundamentals of the Finite Element Method, this primer uses linearized elasticity as a classical model problem to illustrate key concepts. It covers essential topics that lay the groundwork for understanding this computational technique, making it accessible for readers seeking to grasp the basics of finite element analysis.

Focusing on the advancements in modeling and simulation of infectious diseases spurred by the COVID-19 pandemic, this book delves into critical topics such as disease propagation, transmission, decontamination, and vaccines. It aims to provide researchers with a concise overview of these evolving themes, reflecting the progression of the pandemic. Beginning with foundational concepts in mathematics, optimization, and machine learning, the text explores four key themes essential for understanding and addressing infectious diseases in a modern context.

This monograph offers a concise introduction to the dynamics of systems made up of charged small-scale particles, which are prevalent in both industrial processes and natural sciences. Applications range from electrostatic copiers to powder coating machines. The small size of these particles allows for manipulation through external electromagnetic fields, enabling control beyond what mechanical means can achieve. A distinctive aspect of small-scale particulate flows is their sensitivity to interparticle near-field forces, resulting in nonstandard dynamics, agglomeration, and cluster formation that can significantly impact product quality. The text also delves into the dynamics of swarms of interacting objects, a topic of growing interest across various scientific fields. Key topics include: (1) Dynamics of an individual charged particle, (2) Dynamics of rigid clusters of charged particles, (3) Dynamics of flowing charged particles, (4) Dynamics of charged particle impact with electrified surfaces, and (5) An introduction to the mechanistic modeling of swarms. This research monograph is designed for upper-division undergraduate or first-year graduate students in applied sciences, mechanics, and mathematics, focusing on the analysis of particulate materials.

Recently, several applications driven by microtechnology have emerged, necessitating materials with tailored electromagnetic (dielectric) properties for effective design. These tailored properties result from combining a moldable base matrix with particles selected to achieve desired effective characteristics. Analyzing such materials often requires simulating both macroscopic and microscopic electromagnetic responses, along with their coupled thermal responses, which are crucial for identifying potential failures in "hot spots." This analysis also demands stress evaluations. Additionally, since these processes can trigger degradatory chemical reactions, incorporating models for these processes is often essential. A central goal of this work is to provide foundational models and numerical solution strategies for analyzing the coupled responses of these materials through direct simulation using standard laptop or desktop equipment. The content includes: (1) Foundations of Maxwell's equations, (2) Basic homogenization theory, (3) Coupled systems (electromagnetic, thermal, mechanical, and chemical), (4) Numerical methods, and (5) An introduction to select biological problems. This text serves as a research monograph suitable for upper-division undergraduate or first-year graduate courses aimed at students in applied sciences, mechanics, and mathematics interested in the analysis of particulate materials.