Browsing Civil Engineering (CiE) by Advisor "Roy, Debasish"
Now showing items 1-14 of 14
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Application Of Polynomial Reproducing Schemes To Nonlinear Mechanics
(2011-03-15)The application of polynomial reproducing methods has been explored in the context of linear and non linear problems. Of specific interest is the application of a recently developed reproducing scheme, referred to as the ... -
Constitutive Theories for Polymers Using Non-Classical Continuum Mechanics
This thesis is on the development of a few constitutive theories characterising the thermo-mechanical response of polymers. In proposing the theories, some aspects of non-classical continuum mechanics are used. The first ... -
Methods For Forward And Inverse Problems In Nonlinear And Stochastic Structural Dynamics
(2009-09-03)A main thrust of this thesis is to develop and explore linearization-based numeric-analytic integration techniques in the context of stochastically driven nonlinear oscillators of relevance in structural dynamics. ... -
A non-classical continuum approach to study the fragmentation of brittle solids
In this thesis, a non-local continuum approach coupled with the phase-field theory and Jones-Wilkins-Lee (JWL) equation of state (EOS) is proposed to model and simulate blast-induced fracture in brittle materials. Also, ... -
Non-classical continuum models for solids using peridynamics and gauge theory
This thesis focuses on three areas of nonclassical continuum mechanics of solids. In the first part, we develop a few peridynamics (PD) models and solution strategies for discretized PD equations in the context of the ... -
Non-classical mechanics and thermodynamics for continuum modelling of solids
This thesis dwells upon several aspects of continuum mechanics and thermodynamics to model elastic and inelastic response of solids. Broadly, the work presented may be categorized into two parts{ one focusing on the ... -
Non-Local Continuum Models for Damage in Solids and Delamination of Composites
The focus of the thesis is on developing new damage models for brittle materials and using these to study delamination of composite structures. Chapter 1 gives an introductory literature review in order to motivate the ... -
Nonlocal continuum models for plasticity and damage
Nonlocal interactions of material points play a vital role in modelling certain important aspects of inelastic phenomena such as plasticity and damage in solids. For plasticity problems, nonlocal interactions allow ... -
On a Few Non-Classical Perspectives in Solid Mechanics
Postulates in solid mechanics can be broadly classified into three groups describing the geometry of a configuration, mechanical equilibrium and thermodynamics of the deformation process. The geometry defined on a configuration ... -
Schemes for Smooth Discretization And Inverse Problems - Case Study on Recovery of Tsunami Source Parameters
(2017-10-17)This thesis deals with smooth discretization schemes and inverse problems, the former used in efficient yet accurate numerical solutions to forward models required in turn to solve inverse problems. The aims of the thesis ... -
A Smooth Finite Element Method Via Triangular B-Splines
(2013-07-25)A triangular B-spline (DMS-spline)-based finite element method (TBS-FEM) is proposed along with possible enrichment through discontinuous Galerkin, continuous-discontinuous Galerkin finite element (CDGFE) and stabilization ... -
Smooth Finite Element Methods with Polynomial Reproducing Shape Functions
(2018-04-03)A couple of discretization schemes, based on an FE-like tessellation of the domain and polynomial reproducing, globally smooth shape functions, are considered and numerically explored to a limited extent. The first one ... -
Space-Time Gauge Theories for Continuum Modelling of Viscoplasticity, Damage And Electro-Magneto-Mechanical Phenomena in Solids
Over the years, sustained research efforts have aimed to understand the material behaviour under a broad range of response regimes, especially from micromechanical or phenomenological perspectives — via both continuum ... -
Two-temperature thermodynamics and continuum modelling of viscoplaticity in metals
In recent years, numerous studies have shown the complexity of plastic deformation in metals. The accuracy in modelling inelastic behaviour holds great significance for engineers as metals and metallic alloys are extensively ...