Theoretical and Applied Mechanics 

About: Theoretical and Applied Mechanics is an academic journal published by Elsevier BV. The journal publishes majorly in the area(s): Boundary layer & Grashof number. It has an ISSN identifier of 0285-6042. Over the lifetime, 423 publications have been published receiving 3442 citations. The journal is also known as: Proceedings of NCTAM Japan & Proceedings of the Japan National Congress for Applied Mechanics (1973).

The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies

Abstract: In this paper the Analog Equation Method (AEM) a boundary-only method is presented for solving nonlinear static and dynamic problems in continuum mechanics. General bodies are considered, that is bodies whose properties may be position or direction dependent and their response is nonlinear. The no linearity may result from both nonlinear constitutive relations (material no linearity) and large deflections (geometrical no linearity). The quintessence of the method is the replacement of the coupled nonlinear partial differential equations with variable coefficients governing the response of the body by an equivalent set of linear uncoupled equations under fictitious sources. The fictitious sources are established using a BEM-based technique and the solution of the original problem is obtained from the integral representation of the solution of the substitute problem. A variety of static and dynamic problems are solved using the AEM are presented to illustrate the method and demonstrate its efficiency and accuracy.

Homogenization methods and mechanics of generalized continua - part 2

Abstract: The need for generalized continua arises in several areas of the mechanics of heterogeneous materials, especially in homogenization theory. A generalized homogeneous substitution medium is necessary at the global level when the structure made of a composite material is subjected to strong variations of the mean fields or when the intrinsic lengths of non-classical constituents are comparable to the wavelength of variation of the mean fields. In the present work, a systematic method based on polynomial expansions is used to replace a classical composite material by Cosserat and micromorphic equivalent ones. In a second part, a mixture of micromorphic constituents is homogenized using the multiscale asymptotic method. The resulting macroscopic medium is shown to be a Cauchy, Cosserat, microstrain or a full micromorphic continuum, depending on the hierarchy of the characteristic lengths of the problem. .

Heat and mass transfer effects on moving vertical plate in the presence of thermal radiation

Abstract: Thermal radiation effects on moving infinite vertical plate in the presence variable temperature and mass diffusion is considered. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature and the concentration level near the plate are raised linearly with time. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity and skin-friction are studied for different parameters like thermal Grashof number, mass Grashof number, time and radiation parameter. It is observed that the velocity slightly decreases with increasing value of the radiation parameter.

Flow of granular materials

Abstract: This paper deals with rapid deformations of bulk solids made up of discrete particles. The main focus is on flows at high concentrations and high deformation rates in which the interstitial fluid is relatively unimportant and the bulk behavior is governed largely by interactions between the solid constituents through interparticle collisions and Coulomb - frictional rubbing contacts of longer duration. Some distinctive characteristics of granular flows, and concepts that are key to their understanding are discussed. Three geophysical problems flow problems involving mass-movements are described briefly: (i) the motion of rockfalls, (ii) instabilities in mudflows, and (iii) particle size segregation.

Finite-strain thermoelasticity based on multiplicative decomposition of deformation gradient

Abstract: The constitutive formulation of the finite-strain thermoelasticity is revisited within the thermodynamic framework and the multiplicative decomposition of the deformation gradient into its elastic and thermal parts. An appealing structure of the Helmholtz free energy is proposed. The corresponding stress response and the entropy expressions are derived. The results are specified in the case of quadratic dependence of the elastic strain energy on the finite elastic strain. The specific and latent heats are discussed, and the comparison with the results of the classical thermoelasticity are given. .