Rivlin's legacy in continuum mechanics and applied mathematics
نویسندگان
چکیده
منابع مشابه
Progressive Damage Analysis of Laminated Composites using Continuum Damage Mechanics
In this paper, progressive damage and global failure of composite laminates under quasi-static, monotonic loading are investigated using 3D continuum damage mechanics. For this purpose, a finite element program has been developed using an eight-node 2D layered element including layer-wise plate theory. Damage analysis of a single orthotropic layer under various uniform in-plane and transverse l...
متن کاملInstitute for Mathematical Physics Computer Simulation of Irreversible Expansions via Molecular Dynamics, Smooth Particle Applied Mechanics, Eulerian, and Lagrangian Continuum Mechanics Computer Simulation of Irreversible Expansions via Molecular Dynamics, Smooth Particle Applied Mechanics, Eulerian, and Lagrangian Continuum Mechanics
We simulate the far-from-equilibrium irreversible expansion of a compressed ideal gas in two space dimensions. For this problem the particle trajectories from conventional Smooth Particle Applied Mechanics are isomorphic to those from a corresponding molecular dynamics simulation. The smooth-particle \weight function", used to describe the expanding gas, is identical to the pair potential gover...
متن کاملApplied Mathematics
Computation and continuation of traveling waves in phase field models: The computation of certain traveling waves has been shown to correspond to that of heteroclinic connections between equilibrium points of a dynamical system (see [10], [17]). The problem of computation and continuation of connecting orbits between equilibrium points and periodic orbits can be fully understood from [3],[4], a...
متن کاملApplied mathematics.
Mathematical models are widely used throughout science and engineering in fields as diverse as physics, bioinformatics, robotics, image processing, and economics. Despite the broad range of applications, there are a few essential techniques used in addressing most problems. The Applied Mathematics major provides a foundation in these mathematical techniques and trains the student to use them in...
متن کاملNonrelativistic and Relativistic Continuum Mechanics
There is described a spacetime formulation of both nonrelativistic and relativistic elasticity. Specific attention is devoted to the causal structure of the theories and the availability of local existence theorems for the initial-value problem. Much of the presented material is based on joint work of B.G.Schmidt and the author (in Class.Quantum Grav.20 (2003), 889-904).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2019
ISSN: 1364-503X,1471-2962
DOI: 10.1098/rsta.2019.0090