Contact Interaction of a Prestrained Thick Plate with Parabolic Punch

نویسندگان

چکیده

Within the framework of linearized statement problem elasticity theory, we study stress-strain state a prestrained thick plate modeled by prestressed half space in case its smooth contact interaction with rigid axisymmetric parabolic punch. The dual integral equations this are solved representing required functions form partial sums series Bessel unknown coefficients. For their determination, deduce finite systems linear algebraic equations. We also analyze influence initial strains and shape punch on level character stresses vertical displacements boundary plane for cases compressible incompressible solids. accumulated results illustrated Bartenev– Khazanovich elastic potential harmonic-type potential.

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ژورنال

عنوان ژورنال: Journal of Mathematical Sciences

سال: 2022

ISSN: ['1072-3374', '1573-8795']

DOI: https://doi.org/10.1007/s10958-022-05912-x