Complementary Potentials of Finite Elasticity
The principles of virtual displacements and forces are embodied in a functional P. The complementary potential Pc is defined by the equation; Pc...
Mechanics of Growing Deformable Solids: A Review
An attempt is undertaken to summarize the contemporary knowledge in mechanics of deformable solids of accruing mass. A general mathematical model of an abstract growing deformable solid...
Functional Analysis in Continuum and Structural Mechanics
Following brief historical remarks, the equations of the hypercircle and hypersphere of Prager and Synge and associated formulae for pointwise bounds are derived. The application of the...
Estimating Damage and its Influence on Fracture Toughness
To estimate damage in a quantitative manner, a technique used whereby six values of linear strain are measured on a material element as a function of hydrostatic pressure. The high precision...
Probabilistic Assessment of Composite Structures
Formal procedures are described which are used to computationally simulate the probabilistic behavior of composite structures. The computational simulation starts with the uncertainties...
Interaction Between Soil and a Rigid Foundation in a Layered Medium: A New Analytical Approach
This paper is concerned with derivation of the impedance matrix for the problem of interaction between soil and an embedded rigid foundation in a layered medium. As an approximation, the...
Flexible Plates for Control of Stress Distribution
Use of a flexible plate in minimization of soil reaction concentrations at the edge was analyzed. The analysis utilizes a solution for vertical vibrations of the circular flexible plate...
Wave Propagation in a Nonlocal Strain-Softening Continuum
The problem of wave propagation in a nonlocal strain softening solid is first discussed analytically. It is demonstrated that 'loading' waves can still propagate in the strain softening...
On the Role of Dispersive Waves in Strain-Softening Media
Wave propagation in strain-softening continua is investigated numerically and analytically. It is argued that localisation which typically acts as a precursor of failure, can only be described...
Retrospect and Prospect: Micromechanics
In the mechanics community the term micromechanics is often used to identify scientific efforts in which certain overall macroscopic material response and failure modes are characterized...
Wave Propagation in Solids
The last fifty years have seen the development of a large number of application of the theory of wave propagation in solids to problems of interest to civil engineers. Most notable have...
The Theory of Elasticity: 1950-1992 and Beyond: Concluding Remarks
Forty years ago the theory of elasticity could be completely characterized by A.E.H.Love in his monumental treatise as an effort to reduce to calculation the internal state of stress produced...
Variational Solutions of the Von Karman Plate Theory Based on a Mixed Formulation
A mixed formulation, involving the transverse deflection w(x,y) and the in-plane stress function F(x,y) as the unknown variables, will be used to obtain improved variational solutions...
A Hydraulic Study of Venous Valve Closure
The functions of the veins is to convey blood from the periphery to the heart. The distribution and transportation of blood between different parts of the body is regulated by a host of...
Systolic Anterior Motion of the Mitral Valve: In Vitro Flow Studies
Using an in-vitro approach, the goal of this study was to determine and to characterize the mechanism of systolic anterior motion of the mitral valve in obstructive hypertrophic cardiomyopathy....
Leakage Characteristics of the St. Jude Heart Valve
The requirement for anticoagulant therapy in patients implanted with mechanical heart valve prostheses is well known. A plausible explanation for this requirement is that the leakage flow...
Mathematical Characterization of Fabric and Its Use in Mechanics of Geomaterials
Increased evidence of the influence of their discrete nature on the observed behavior of geomaterials has prompted a number of investigators to look at these materials at the microstructural...
Discrete Mechanics of Sediment Transport
Usually a granular medium is being represented by a continuous approximation in which the degrees of freedom of individual grains are averaged away in favor of a partial differential equation...
Distributed Failure Analysis, Fallacies and Remedies
In the past, two distinctly different approaches - smeared and discrete failure descriptions have been utilised to capture failure mechanisms in solids and structures. These two approaches...
Computational Gradient Plasticity
The inclusion of higher-order deformation gradients is of paramount importance for properly describing strain localization within the framework of continuum mechanics. In this contribution...
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