Khom'yak M. Solution of contact problems of layered plates and shells based on revised models by the finite element method

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U000899

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

13-03-2000

Specialized Academic Board

Д 35.195.01

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine

Essay

Layered plates and shells of composite materials. Development of sufficiently universal numerical method for stress-strained state computation of layered structures within the framework of discrete layers description, testing and solving of applications. The mixed finite element method is the method of investigation. The basic cases of mathematical models are systematized and the correspondent energy functionals are given when the interlayer damages are being taken into consideration. Under variational statement of the contact problem the calculatory schemes and the special algorithms which are based on the mixed finite element method are developed. The general object-oriented approach concerning the program's implementation is proposed. The numerical solutions in series of the bending problem for two- and three-layered plates and cylindrical shells with zones of ideal and nonideal interphase contact are obtained. The preferences of using such approach under design and evaluation of layered structures' contact strength are showed. The sphere of using: machine-building, air- and spacecraft technologies

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