Mechanics and Geometry of Solids and Surfaces
1US Army Research Laboratory, Aberdeen, USA
2Kobe University, Kobe, Japan
3Los Alamos National Lab, Los Alamos, USA
Mechanics and Geometry of Solids and Surfaces
Description
A long history exists on mechanics of materials in the context of differential geometry of continuous solid bodies and singular surfaces; geometric methods have been applied to problems in various branches of theoretical and mathematical physics for some time. Over the past several decades, steadily improving computational methods and resources has enabled application of ever more intricate theoretical descriptions towards boundary value problems of greater complexity, involving multiple length and time scales and simultaneous coupled physics (e.g., thermoelectromechanical behaviors).
Invited are overview and original research papers on any and all topics associated with mechanics and geometry of solids and surfaces. Contributors may have diverse backgrounds in a number of technical disciplines, including theoretical and mathematical physics, pure and applied mathematics, engineering mechanics, or materials science.
Potential topics include, but are not limited to:
- Continuum physics and mechanics of materials: nonlinear elasticity, plasticity, and higher‐order gradient or micropolar theory
- Mechanics and thermodynamics of moving surfaces, including phase transition fronts and shock waves
- Materials physics of crystal lattices, glasses, and interfaces in heterogeneous solids
- Multiphysics and multiscale modeling
- Differential‐geometric descriptions as applied to condensed matter physics and nonlinear science
- Theory and new analytical solutions or new applications of existing solutions, to related problems in mechanics, physics, and geometry
- New developments in numerical methods of solution towards related mechanics problems
- New physical experiments either supporting or suggesting new theoretical descriptions