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Peridynamic Modeling of Visco-Hyperelastic Deformation
This chapter presents the PD modeling of viscoelastic materials in the presence of finite deformation. It employs the PD correspondence model for the...
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Transformation Model of the Dynamic Deformation of an Elongated Cantilever Plate Mounted on an Elastic Support Element
AbstractA transformation model of the dynamic deformation of an elongated orthotropic composite rod-type plate, consisting of two sections (fastened...
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Elastoplastic Deformation of a Rotating Hollow Cylinder with a Rigid Casing under Maximum Reduced Stress Yield
AbstractWe consider deformation of a hollow cylinder with fixed ends and rigid casing due to centrifugal forces arising from its rotation around the...
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A variational differential quadrature solution to finite deformation problems of hyperelastic shell-type structures: a two-point formulation in Cartesian coordinates
A new numerical approach is presented to compute the large deformations of shell-type structures made of the Saint Venant-Kirchhoff and Neo-Hookean...
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Refined Transformational Model of Deformation of a Rod-Strip with a Fixed Section on One of the Front Surfaces
AbstractA refined geometrically nonlinear model of static and dynamic deformation is developed for a rod-strip which is attached on one of its faces...
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Symplectic Coordinates on the Deformation Spaces of Convex Projective Structures on 2-Orbifolds
Let 𝒪 be a closed orientable 2-orbifold of negative Euler characteristic. Huebschmann constructed the Atiyah-Bott-Goldman type symplectic form ω on...
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A Parallel RBF-VerBSS Hybrid Method for Mesh Deformation
AbstractEach chapter should be preceded by an abstract (no more than 200 words) that summarizes the content. The abstract will appear online at
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Electro-chemo-mechanical analysis of the effect of bending deformation on the interface of flexible solid-state battery
Flexible solid-state battery has several unique characteristics including high flexibility, easy portability, and high safety, which may have broad...
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On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps
In a previous paper (Lodge et al. in Forum Math Sigma 10:e3, 2022), we constructed an explicit dynamical correspondence between certain Kleinian...
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Deformation Results
Deformation results are one of the main tools used in finding critical points. In this chapter we present several deformation results for nonsmooth...
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Nonlinear dynamic longitudinal deformation of a viscoelastic rod with power-law nonlinearity
In this paper, by methods of symmetry analysis, we study a model of longitudinal dynamic deformation of a viscoelastic rod with a power-law...
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Witten deformation on non-compact manifolds: heat kernel expansion and local index theorem
Asymptotic expansions of heat kernels and heat traces of Schrödinger operators on non-compact spaces are rarely explored, and even for cases as...
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Quantum cohomology as a deformation of symplectic cohomology
We prove that under certain conditions, the quantum cohomology of a positively monotone compact symplectic manifold is a deformation of the...
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Deformation of Rigid Conjugate Self-dual Galois Representations
In this article, we study deformations of conjugate self-dual Galois representations. The study is twofold. First, we prove an R=T type theorem for a...
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Level structures on p-divisible groups from the Morava E-theory of abelian groups
The close relationship between the scheme of level structures on the universal deformation of a formal group and the Morava E -cohomology of finite...
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Discrete-to-Continuous Extensions: Lovász Extension and Morse Theory
This is the first of a series of papers that develop a systematic bridge between constructions in discrete mathematics and the corresponding...
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Some aspects of Reidemeister fixed point theory, equivariant fixed point theory and coincidence theory
In this survey the authors present a brief description of their contribution to Nielsen fixed point theory. Aspects of Reidemeister theory,...
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Crustal deformation of the Earth due to vertical dip-slip faulting
Closed-form solution for the plane strain problem of static deformation of a homogeneous, isotropic, elastic layer of uniform thickness resting over...
