Mini-symposium title
3-10 - Mechanics of Generalized Continua with Cohesion-adhesion Interactions and their Applications to Size-dependent Thin Structures
Holm Altenbach (Otto-von-Guericke-Universität Madeburg), Nikita Morozov (St.-Petersburg State University), Francesco dell'Isola (Sapienza University of Rome), Sergey Lurie (Institute of Applied Mechanics of RAS)
Mini-symposium description

(first draft)

Scope and Topics:

Nowadays one of the main problems modern mechanics is to prescribe the micro-scale mechanical effects needed to get a specific desired behavior at the macro-scale. To a large extent, this refers to microstructure-dependent size effects have been exhibited by many micro- and nano-scale components and devices. Second gradient models with interfacial interactions and adhesion stresses can be very promising to study the scientific problems posed by these applications for thin structures and can be involve many areas, as the theoretical coverage, the designing of suitable experimental procedures and the development of specific numerical tools. Whole such approaches are all crucial aspects of the general picture and are able to effectively model the complex behaviour of so-called architectured, advanced, multiscale or microstructured (meta)materials.

The research topics are, but not limited to:

  1. Second gradient continuums and Mindlin types models with adhesion stresses

  2. Continuum adhesion models and specific interactions on the ribs and corners.

  3. Theoretical aspects of modeling (material objectivity, existence, uniqueness etc.), gradient adhesion models, defective surfaces.

  4. Gradient cohesion- adhesion models of pentographic systems, metamaterials, micro/nano structures, layered coatings and so on

  5. Cohesion-adhesion models of microstructure-dependent thin structures (beams, plates, shells), experimental tests, identification problems

  6. Dynamics problems, surface waves of adhesive nature, natural oscillations of superfine structures with adhesion activity surfaces

  7. Couple second gradient models of thermoelasticity and thermal conductivity, applications to thin structures

  8. Adhesion models of graphene-like structures, hyperfine plates and shells, applications to nanotubes and fullerenes.