Ontological description for some boundary value problems of elasticity theory

Abstract

The paper uses the ontological design approach to describe the semantics of some boundary value problems from the field of solid mechanics. Modern materials modeled within the framework of the theory of elasticity require new formulations of classical problems of mathematical physics. To describe new problems, it is necessary to establish connections between new terms and concepts with the classical definitions of the mathematical encyclopedia and other primary sources. Establishing links allows you to form a dictionary and thesaurus of the applied subject area of new boundary value problems and place the results in the semantic environment of the digital library. Examples of this approach are demonstrated using the capabilities of the LibMeta semantic library, which contains a digitized version of the mathematical encyclopedia and encyclopedia of mathematical physics, classifiers, and applied mathematical thesauri and dictionaries. The purpose of the research is to provide the user with additional services in the search for publications in the applied scientific field.