Books in the SpringerBriefs in Continuum Mechanics series

The second chapter examines the numerical techniques thatare used, namely discrete orthogonalization, spline-collocation and Fourierseries, while the third highlights applications based on classical theory, inparticular, the stress-strain state of shallow shells, non-circular shells,shells of revolution, and free vibrations of conical shells.

To construct approximate solutions, a variational method is employed as the basis for computational procedures where the Finite Element Method is applied. To avoid artificial stiffening effects, various integration types are applied, and the solutions generated are subsequently verified with closed-form solutions for monolithic limiting cases.

This book deals with singular solutions that appear in the vicinity of maximum friction surfaces for several rigid plastic models. An applied aspect of the singular solutions considered is that these solutions are capable of predicting the development of narrow hard layers near frictional interfaces in manufacturing processes.

This brief book presents solutions of stress-strain problems for a wide class of anisotropic inhomogeneous shells obtained by the refined model. They study how a variation in shell thickness influences the stress-strain state and consider noncircular cylindrical shells with elliptical and corrugated sections are considered.

These two-partition books present essential approaches to numerical-analytical solutions of problems in the mechanics of shells with various structures and shapes based on refined and spatial models.

Presents the basics of micropolar continuum including short but comprehensive introduction of stress and strain measures, derivation of motion equations. This book demonstrates the difference between Cosserat and the classic theory. It also considers more specific problems related to the constitutive modeling.

The derivation and understanding of Partial Differential Equations relies heavily on the fundamental knowledge of the first years of scientific education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills.