Asymptotic justification of the models of thin inclusions in an elastic body in the antiplane shear problem
From MaRDI portal
Publication:5882895
DOI10.33048/SIBJIM.2021.24.108OpenAlexW4254910067MaRDI QIDQ5882895
No author found.
Publication date: 29 March 2023
Published in: Sibirskii zhurnal industrial'noi matematiki (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/sjim1123
asymptotic methodcracklimiting solutionproblem decompositionpower-law shear modulus distributionrectilinear inclusionsmall inclusion thickness
Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Inhomogeneity in solid mechanics (74E05)
Related Items
The homogenized quasi-static model of a thermoelastic composite stitched with reinforcing threads, Asymptotic analysis of the problem of equilibrium of an inhomogeneous body with hinged rigid inclusions of various widths, Three-dimensional Signorini-type problem for composite bodies contacting with sharp edges of rigid inclusions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On effective properties of materials at the nano- and microscales considering surface effects
- Prediction of the stress field and effective shear modulus of composites containing periodic inclusions incorporating interface effects in anti-plane shear
- On a displacement-based solution to an antiplane crack problem for inhomogeneous anisotropic elastic materials
- On the anti-plane shear of an elliptic nano inhomogeneity
- On some crack problems for inhomogeneous elastic materials
- A continuum theory of elastic material surfaces
- Limit problem in thermal conductivity in a nonhomogeneous medium
- Mathematical and numerical simulation of equilibrium of an elastic body reinforced by a thin elastic inclusion
- Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam
- On modeling elastic bodies with defects
- Asymptotic modelling of bonded plates by a soft thin adhesive layer
- Analysis of the antiplane problem with an embedded zero thickness layer described by the Gurtin-Murdoch model
- Domain decomposition method for a model crack problem with a possible contact of crack edges
- On numerical solving a rigid inclusions problem in 2D elasticity
- On thin inclusions in elastic bodies with defects
- Numerical solution of the equilibrium problem for a membrane with embedded rigid inclusions
- Domain decomposition method for a membrane with a delaminated thin rigid inclusion
- On delaminated thin Timoshenko inclusions inside elastic bodies
- Direct Methods in the Theory of Elliptic Equations
- The effect of a thin inclusion of high rigidity in an elastic body
- Mathematical Analysis of a Bonded Joint with a Soft Thin Adhesive
- Imperfect interfaces with graded materials and unilateral conditions: theoretical and numerical study
- The primal-dual active set method for a crack problem with non-penetration
- A Contact Problem for a Plate and a Beam in Presence of Adhesion
- Optimal location of a rigid inclusion in equilibrium problems for inhomogeneous Kirchhoff–Love plates with a crack
- Asymptotics of anisotropic weakly curved inclusions in an elastic body
- On a vibration problem of antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies
- Singular path-independent energy integrals for elastic bodies with Euler–Bernoulli inclusions
- On modeling interfaces in linear micropolar composites
- The Griffith formula and J‐integral for elastic bodies with Timoshenko inclusions
