The problems of transient interaction of deformable bodies with surrounding media are of great practical and theoretical importance. When solving the problems of this kind, the main difficulty is in the necessity to integrate jointly the system of equations which describe motion of the body and the system of equations which describe motion of the medium under the boundary conditions predetermined at the unknown (movable) curvilinear interfaces. At that, the position of these interfaces should be determined as part of the solution process. That is why, the known exact solutions in this area of...
The problems of transient interaction of deformable bodies with surrounding media are of great practical and theoretical importance. When solving the ...
According to established tradition, courses on analytical mechanics include general equations of motion of holonomic and non-holonomic systems, vari ational principles, theory of canonical transformations, canonical equations and theory of their integration (the Hamilton-Jacobi theorem), integral in variants, theory of last multiplier and others. The fundamental laws of mechanics are taken for granted and are not subject to discussion. The present book is concerned with those issues of the above listed sub jects which, in the author's opinion, are most closely related to engineering problems....
According to established tradition, courses on analytical mechanics include general equations of motion of holonomic and non-holonomic systems, vari a...
For the first time, the Micropolar Theory of Elasticity is applied to solving a wide variety of problems connected to the specifics of nanomaterials. Namely, their unique physical-mechanical characteristics and behaviors under various stress-induced conditions.
These theories have been constructed based on the equations of the classical theory of elasticity as well as other equations that have till now remained untouched in their application to molecular theories of solid deformable media. The book also introduces a new applied micropolar theory of thin shells which is based on...
For the first time, the Micropolar Theory of Elasticity is applied to solving a wide variety of problems connected to the specifics of nanomaterial...
Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University.
The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail...
Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading sc...
The book presents topical theoretical and experimental studies for developing advanced methods of detecting materials fracture and assessing their structural state using acoustic emission. It introduces new mathematical models characterizing the displacement fields arising from crack-like defects and establishes a new criterion for classifying different types of materials fracture based on specific parameters obtained from wavelet transforms of acoustic emission signals. The book applies this approach to experimental studies in three types of materials—fiber-reinforced composites, dental...
The book presents topical theoretical and experimental studies for developing advanced methods of detecting materials fracture and assessing their ...
This book offers a comprehensive guide to the design and construction of process equipment and storage tanks. It covers the theoretical fundamentals of calculation methods and dimensioning techniques used in the design process, as well as the interpretation and evaluation of finite element examination results for stress concentrating cross-sections. Additionally, the book showcases corrosion-proof design through real-world examples.
All measurement and calculation results presented in the book are based on the author's original research...
This book offers a comprehensive guide to the design and construction of process equipment and storage tanks. It covers the theoretical fundam...
