Analysis of Wet Pressing of Paper: The Three-Phase Model. Part II: Compressible Air Case

In this study we consider a model of wet pressing of paper. We use the techniques and results from the first part of this paper, where a simplified model is studied in details. The model is, using suitable transformation, rewritten in the standard parabolic-hyperbolic form. Numerical solution for typical example is given and the effects of plastic deformations of paper are investigated. Finally, the model is employed to adres the problem of choosing an optimal pressing regime.     

Universal Deformations for a Class of Compressible Isotropic Hyperelastic Materials

Differential conditions are derived for a smooth deformation to be universal for a class of isotropic hyperelastic materials that we regard as a compressible variant (a notion we make precise) of Mooney–Rivlin’s class, and that includes the materials studied originally by Tolotti in 1943 and later, independently, by Blatz. The collection of all universal deformations for an incompressible material class is shown to contain, modulo a uniform dilation, all the universal deformations for its compressible variants. As an application of this result, by searching the known families of universal deformations for all incompressible isotropic materials, a nontrivial universal deformation for Tolotti materials is found. This revised version was published online in August 2006 with corrections to the Cover Date.     

CORC电缆中超导带材在缠绕、弯曲和扭曲变形下的应变分析

CORC(conductor on round core)超导电缆是一种基于REBCO(rare-earth barium copper oxide)导体的高温超导电缆,已经成为迄今为止最灵活的高温超导(HTS)导体之一.然而,由于超导REBCO陶瓷材料的脆性,临界电流表现出敏感的应变依赖性,即临界电流与应变密切相关.该材料的应变一旦超过临界值,就会引发明显的衰减.除此之外,由于带材缠绕和电缆绞合后的复杂变形,切实存在一个实际性的挑战,即如何准确预测电缆超导带材在各种变形下的轴向应变.在本文中,我们建立了分析模型,可以用来准确计算CORC电缆的超导带材在电缆内芯上缠绕、电缆弯曲和扭曲变形等实际条件下的轴向应变.并且通过比较分析结果与有限元数值结果和实验数据,验证了分析模型,即超导带的临界电流随CORC电缆的核心直径而变化.在轴向应变结果的基础上,进一步确定了临界参数,即超导层的轴向应变恰好达到临界应变时的参数,如临界核心直径、临界弯曲直径和临界绞距等.对CORC电缆中REBCO超导带材的应变分析研究将有助于CORC电缆的加工和进一步设计高水平的超导线圈和磁体.     

A comparative study of kinematic hardening rules at finite deformations

Kinematic hardening models describe a specific kind of plastic anisotropy which evolves with the deformation process. It is well known that the extension of constitutive relations from small to finite deformations is not unique. This applies also to well-established kinematic hardening rules like that of Armstrong-Frederick or Chaboche. However, the second law of thermodynamics offers some possibilities for generalizing constitutive equations so that this ambiguity may, in some extent, be moderated. The present paper is concerned with three possible extensions, from small to finite deformations, of the Armstrong-Frederick rule, which are derived as sufficient conditions for the validity of the second law. All three models rely upon the multiplicative decomposition of the deformation gradient tensor into elastic and plastic parts and make use of a yield function expressed in terms of the so-called Mandel stress tensor. In conformity with this approach, the back-stress tensor is defined to be of Mandel stress type as well. In order to compare the properties of the three models, predicted responses for processes with homogeneous and inhomogeneous deformations are discussed. To this end, the models are implemented in a finite element code (ABAQUS).     

Inverse Problems of the Mechanics of Thin-Walled Composite Structures

New formulations and methods for the solution of the inverse problems of thin-walled layered and reinforced shells and plates are discussed. Rational projects with regard for the requirements of nonflexural deformations in layered structural members, the given deformability of particular surfaces, the realization of a strictly momentless state, an equally stressed reinforcement, and the breaking strength of the binder at the interfaces are investigated. A brief review of the known solutions to these problems is given, and solutions to some new problems are described.