Variational Time Integrators in Computational Solid Mechanics [PDF]
, 2003 This thesis develops the theory and implementation of variational integrators for computational solid mechanics problems, and to some extent, for fluid mechanics problems as well.
Lew, Adrián José
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An approach to nonlinear viscoelasticity via metric gradient flows [PDF]
, 2013 We formulate quasistatic nonlinear finite-strain viscoelasticity of rate type as a gradient system. Our focus is on nonlinear dissipation functionals and distances that are related to metrics on weak diffeomorphisms and that ensure time-dependent frame ...
Mielke, A. +4 more
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Abstract and Applied Analysis, 2013 The purpose of this paper is twofold. Firstly we consider nonlinear nonsmooth elliptic boundary value problems, and also related parabolic initial boundary value problems that model in a simplified way steady-state unilateral contact with Tresca friction
J. Gwinner
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Boundary value problems for systems of non-degenerate difference-algebraic equations
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2019 The study of differential-algebraic boundary value problems was initiated in the works of K. Weierstrass, N.N. Luzin and F.R. Gantmacher. Systematic study of differential-algebraic boundary value problems is devoted to the work of S.
Sergey Chuiko +2 more
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Geometric Discretization of Lagrangian Mechanics and Field Theories [PDF]
, 2009 This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics,
Stern, Ari Joshua
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A Neutrosophic Metaheuristic Algorithm: Integrating Probability, Measures, and Adaptive Strategies for Robust Optimization of Complex Computational Problems [PDF]
Neutrosophic Sets and SystemsReal-world optimization problems are frequently noisy, partially observed, and internally inconsistent. Classical metaheuristics deliver strong results, yet they implicitly assume crisp fitness values and unambiguous constraints.
Sara Salem
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On the construction and properties of WENO schemes order five, seven, nine, eleven and thirteen. Part 2. Numerical examples [PDF]
Компьютерные исследования и моделирование, 2016 WENO schemes (weighted, essentially non oscillating) are currently having a wide range of applications as approximate high order schemes for discontinuous solutions of partial differential equations. These schemes are used for direct numerical simulation
Nikolay Mikhaylovitch Evstigneev
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Influence of friction on buckling of a drill string in the circular channel of a bore hole
Petroleum Science, 2016 Enhancement of technology and techniques for drilling deep directed oil and gas bore hole is one of the most important problems of the current petroleum industry.
Valery Gulyayev, Natalya Shlyun
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The Optimal Transportation Method in Solid Mechanics [PDF]
, 2009 This dissertation is concerned with the development of a robust and efficient meshless method, the Optimal Transportation Method (OTM), for general solid flows involving extremely large deformation, fast, transient loading and hydrodynamic phenomena ...
Li, Bo
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Efficient handling of stability problems in shell optimization by asymmetric ‘worst-case’ shape imperfection [PDF]
, 2008 The paper presents an approach to shape optimization of proportionally loaded elastic shell structures under stability constraints. To reduce the stability-related problems, a special technique is utilized, by which the response analysis is always ...
Brank, Boštjan +3 more
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