This book gathers papers presented at the international workshop PMSDAM'19. The respective contributions offer valuable insights for researchers working on numerical solutions to advanced materials problems. The problems concerning the remineralization of teeth are considered. Of particular interest are articles exploring topics at the interface of different disciplines.

The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:* comprehensive review of the most popular theories of plates and shells,* relations between three-dimensional theories and two-dimensional ones,* presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),* modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,* applications in modeling of non-classical objects like, for example, nanostructures,* presentation of actual numerical tools based on the finite element approach.

This book gathers papers presented at the international workshop PMSDAM'19. The respective contributions offer valuable insights for researchers working on numerical solutions to advanced materials problems. The problems concerning the remineralization of teeth are considered. Of particular interest are articles exploring topics at the interface of different disciplines.

The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:* comprehensive review of the most popular theories of plates and shells,* relations between three-dimensional theories and two-dimensional ones,* presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),* modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,* applications in modeling of non-classical objects like, for example, nanostructures,* presentation of actual numerical tools based on the finite element approach.