Effective two dimensional theories for multi-layered plates

• Tác giả: Miguel de Benito Delgado
• Ngôn ngữ: eng
• ISBN-13: 978-3832549848
• Ký hiệu phân loại: 782.10268 *Dramatic vocal forms Operas
• Thông tin xuất bản: Berlin, Germany : Logos Verlag Berlin, 2019
• Mô tả vật lý: 1 electronic resource (139 p.)
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 231615
• Chủ đề: 1. Integral calculus & equations

Tóm tắt

This work introduces a family of effective plate theories for multilayered materials with internal misfit. This is done for scaling laws ranging from Kirchhoff's theory to the linearised von Kármán one. An intermediate von Kármán-like theory is introduced to play a central interpolating role with a new parameter which switches between the adjacent regimes. After proving the necessary Gamma-convergence and compactness results, minimising configurations are characterised. Finally, the interpolating theory is numerically approximated using a discrete gradient flow and the relevant Gamma-convergence and compactness results for the discretisation are proved. This provides empirical evidence for the existence of a critical region of the parameter around which minimisers experience a stark qualitative change.