Maximum and minimum free energies for a linear viscoelastic material
نویسندگان
چکیده
منابع مشابه
Maximum Load and Minimum Volume Structural Optimization
A bi-criteria optimization is considered whose objectives are the maximization of the load sustained by a structure and the minimization of the structure's volume. As the objectives are conflicting, the solution to the problem is of the Pareto type. The problem is elaborated for a thin-walled column of cruciform cross-section, prone to flexural and torsional buckling. A numerical example is als...
متن کاملFree Energies in the Frequency Domain: the Scalar Case
A general closed expression is given for the isothermal minimum free energy of a linear viscoelastic material in terms of Fourier-transformed quantities. A oneparameter family of free energies is constructed, ranging continuously from the maximum to the minimum free energies. The simplest case of single component stress and strain tensors and a single viscoelastic function is considered in this...
متن کاملCoupling Nonlinear Element Free Galerkin and Linear Galerkin Finite Volume Solver for 2D Modeling of Local Plasticity in Structural Material
This paper introduces a computational strategy to collaboratively develop the Galerkin Finite Volume Method (GFVM) as one of the most straightforward and efficient explicit numerical methods to solve structural problems encountering material nonlinearity in a small limited area, while the remainder of the domain represents a linear elastic behavior. In this regard, the Element Free Galerkin met...
متن کاملMaximum Energies of Force-free Coronal Flux Ropes
Magnetic energy is believed to play amajor role in powering coronal mass ejections (CMEs). Freemagnetic energy is associated with electric currents that give the magnetic field more energy than a purely potential (current-free) field. For magnetic energy alone to power a CME, the energy must be sufficient to open the magnetic field to interplanetary space, to lift the ejecta against solar gravi...
متن کاملEquilibrium free energies from nonequilibrium measurements using maximum-likelihood methods.
We present a maximum likelihood argument for the Bennett acceptance ratio method, and derive a simple formula for the variance of free energy estimates generated using this method. This derivation of the acceptance ratio method, using a form of logistic regression, a common statistical technique, allows us to shed additional light on the underlying physical and statistical properties of the met...
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: Quarterly of Applied Mathematics
سال: 2002
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1900497