Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)

Mathematica--A System for Doing Mathematics by Computer.

Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates

Composites science and technology

THE appearance of a treatise in English upon the mathematical theory of elasticity is an event the potential importance of which may be judged by the that the author, in his frequent suggestions for collateral reading, refers to only three such, those of Southwell, Timoshenko, and Love. In spirit and content Sokolnikoff}s book differs greatly from each and all of these. It may be described by a possible sub-title: “A pure mathematician surveys topics related to certain problems in the mathematical theory of elasticity”. It is symptomatic of the change in outlook of American mathematics over the past few decades. Mathematical Theory Of Elasticity Prof. I. S. Sokolnikoff with the collaboration of Asst. Prof. R. D. Speche. Pp. xi + 373. (New York and London: McGraw-Hill Book Co., Inc., 1946.) 22s. 6d.

Mathematical Theory Of Elasticity

Relations between different solutions of an interface crack in a neighborhood of the crack tip given by the open model, frictionless and frictional contact models of interface cracks are analyzed numerically for a penny-shaped interface crack subjected to remote tension. A new analytic expression for the size of the near-tip contact zone in presence of Coulomb friction between crack faces is proposed in the so-called case of the contact zone field embedded in the oscillatory field.

Effect of Friction on the Size of the Near-Tip Contact Zone in a Penny-Shaped Interface Crack

The advances in manufacturing techniques allow the generation of new geometric conceptions and open a new paradigm in adhesive joints design. Structured interfaces constitute an excellent method to...

Analysis of 3D Printed Trapezoidal Interfaces by Means of a Novel Cohesive-Based Analytical Approach

Composite to metal adhesively bonded joints generates critical points where geometry and material properties change abruptly. These points (multimaterial corners) are potential locations for failure initiation. There exist proposals predicting the initiation of failure at these multimaterial corners using a Fracture Mechanics approach, in which the Generalized Stress Intensity Factors (GSIFs) at the multimaterial corner control the failure initiation. The calculation of these GSIFs at anisotropic multimaterial corners involves not-straightforward calculations of the stress singularities and characteristic angular functions, numerical modeling of the joint and a careful postprocessing of the results. In this study a parametric Finite Element Analysis has been carried out allowing the generation of plots to calculate the GSIFs for unit values of the axial force, shear force and bending moment at one end of the overlap length. These results allow calculating the GSIFs at the multimaterial corners by a simple...

Failure initiation criterion in bonded joints with composites based on singularity parameters and practical procedure for design purposes

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BEM Analysis Of Crack Onset And Growth InComposites Using The Linear Elastic–brittleInterface Model

The propagation of fiber–matrix interfacial debonding under axial loading is analyzed, using the single-fiber fragmentation test as a reference, in order to determine fiber–matrix failure properties. A data reduction technique is presented in which the fiber–matrix Mode II interfacial fracture toughness is obtained from the measurements of the average debond crack growth. A set of boundary element models are employed to evaluate the energy release rate associated with interfacial crack propagation. The interfacial friction coefficient is parametrically varied until a constant value of the energy release rate (which is then equal to the fiber–matrix Mode II interfacial fracture toughness) is obtained. The applicability of the properties evaluated is demonstrated using a set of finite element models with cohesive elements.

Federico París

Papers

Effect of Friction on the Size of the Near-Tip Contact Zone in a Penny-Shaped Interface Crack

Analysis of 3D Printed Trapezoidal Interfaces by Means of a Novel Cohesive-Based Analytical Approach

Failure initiation criterion in bonded joints with composites based on singularity parameters and practical procedure for design purposes

BEM Analysis Of Crack Onset And Growth InComposites Using The Linear Elastic–brittleInterface Model

Fiber–matrix debonding in composite materials: Axial loading