A frequently encountered mathematical problem is the equations and solutions of coupled fields in engineering structural analysis. Originating from the theory of elasticity, structures and materials nowadays will undergo multiple fields such as mechanical loadings, thermal field, electrical field, and possibly others.

The analytical challenge of such problems is tremendously increased due to the coupling of such fields in the mathematical formulation through differential equations and boundary conditions. Clearly, mathematical methods for accurate and efficient solutions of such coupled equations are critical to these engineering applications.

This Special Issue is devoted to the formulation and solution of coupled engineering problems with a focus on practical methods and procedures in structural analysis and other disciplines. We welcome original research and review articles.

Potential topics include but are not limited to the following:

• Mathematical modeling of multi-field and multi-physics problems
• Linear and nonlinear couplings of physical fields
• Mathematical models of coupled problems
• Simplification and solution procedures and techniques
• Numerical and computational methods for coupled engineering problems
• Vibrations in coupled fields
• Stress analysis in coupled fields
• Material properties and behaviors in coupled fields
• Metamaterials and structures in coupled fields
• Soft and flexible materials and structures in coupled fields
• Modeling and simulation of biological materials
• Structures and devices in space and extreme environments
• Optimization and tuning of structures in coupled fields