This paper proposes an isothermal fatigue life prediction model to predict the of creep-fatigue damage interaction. The is caused by high-frequency mechanical loads and low-frequency temperature loads, i.e. stepped-isothermal loads. based on continuum mechanics (CDM), in which interaction between creep considered nonlinear. To verify proposed model, cast aluminum alloy subjected tests at 200–35...

An approach to weak balance laws in Continuum Mechanics is presented, involving densities with only divergence measure, which relies on the balance of power. An equivalence theorem between Cauchy powers and Cauchy fluxes is proved. As an application of this method, the construction of the stress tensor when the body is an orientable differential manifold is achieved under very general assumptions.

1. Preliminary concepts: Definitions and theoretical framework 2. Kinematics of deformation 2.1. The continuum setting: Mathematical description 2.2. Displacement, deformation and motion 2.3. Stretch, shear and strain 2.4. Change of reference frame and objective tensors 3. Balance laws 3.1. Mass and conservation of mass 3.2. Force, torque and theory of stress 3.3. Euler’s laws of motion 3.4. En...

Correction of the present defect in quantum education throughout the world must be performed by the new breakthrough in quantum mechanics which was re ntly achieved due to the inverse problem approach. It allows finding infinite (!) number of exactly solvable mod ls instead of only about ten previously known about 100 years. It means an incomparable more convenient bas or the quantum education ...

The recent appearance of nonlocal methods is examined in the light of traditional continuum mechanics. A comparison of nonlocal approaches in the fields of solid and fluid mechanics reveals that no consistent definition of a nonlocal theory has been used. We suggest a definition based on the violation of the principle of local action in continuum mechanics. From the consideration of the implica...

In this paper, a continuum model is proposed so that a Stone-Wales (SW) defected carbon nanotube (CNT) is replaced by an initial circumferential crack in a continuum cylindrical shell. For this purpose, the critical energy release rate and then the fracture toughness of a defected CNT are calculated using the results of an existing atomistic-based continuum finite element simulation. Finally, t...

We derive a cluster expansion for the electric susceptibility kernel of a dielectric suspension of spherically symmetric inclusions in a uniform background. This also leads to a cluster expansion for the effective dielectric constant. It is shown that the cluster integrals of any order are absolutely convergent, so that the dielectric constant is well defined and independent of the shape of the...

The paper discusses the effort carried out at VNIIEF to consider the applicability of unstructured Lagrange meshes to multidimensional continuum mechanics problems with high shear strain and vortex flows. Three finite-difference numerical techniques for solving continuum mechanics problems on polyhedral unstructured Lagrange meshes are described. Examples of numerical calculations of benchmark ...

This article is a review of models for predicting ultra-low cycle fatigue life. In the article, life prediction are divided into three types: (1) microscopic ductile fracture based on cavity growth and merger; (2) porous plasticity; (3) continuum damage mechanics. Furthermore, provides critical assessment current state research models, highlighting limitations challenges faced by each model typ...