Production of metals stands for 40% of all industrial greenhouse gas emissions, 10% of the
global energy consumption, 3.2 billion tonnes of minerals mined, and several billion tonnes …

This work reviews state of the art representative volume element (RVE) generation
techniques for heterogeneous materials. To this end, we present a systematic classification …

Grain boundaries exhibit phase-like behavior in which their structure, chemistry and
properties may change discontinuously at critical values of thermodynamic parameters such …

This comprehensive and self-contained, one-stop source discusses phase-field
methodology in a fundamental way, explaining advanced numerical techniques for solving …

KINETICS OF MATERIALS A CLASSROOM-TESTED TEXTBOOK PROVIDING A
FUNDAMENTAL UNDERSTANDING OF BASIC KINETIC PROCESSES IN MATERIALS This …

Phase-field method, as a powerful and popular approach to predict the mesoscale
microstructure evolution in various materials science, provides a bridge from atomic-scale …

Interfaces and the movement of atoms within an interface play a crucial role in determining
the processing and properties of virtually all materials. However, the nature of interfaces in …

In this paper the relationship between the classical density functional theory of freezing and
phase-field modeling is examined. More specifically a connection is made between the …

Partial differential equations (PDEs) are ubiquitous to the mathematical description of
physical phenomena. Typical examples describe the evolution of a field in time as a function …

This paper discusses a structural optimization method that optimizes shape and topology
based on the phase field method. The proposed method has the same functional …