Characterization of material inhomogeneity by stationary values of strain energy density |
| |
| Authors: | G C Sih |
| |
| Institution: | 1. Department of Zoology and Entomology, Rhodes University, Grahamstown 6140, South Africa;2. South African Institute for Aquatic Biodiversity, Somerset Street, Grahamstown 6139, South Africa;3. South African Environmental Observation Network, Egagasini Node, Martin Hammerschlag Way, Roggebaai 8012, South Africa;4. ASL Environmental Sciences Inc., Rajpur Place, Victoria V8M 1Z5, British Columbia, Canada;1. School of Earth, Ocean, and Environment, Department of Marine Science, University of South Carolina, 701 Sumter Street, EWS 617, Columbia, SC 29208, United States;2. Department of Biological Sciences, University of South Carolina, Columbia, SC 29208, United States;1. National Research Council - Institute for Coastal Marine Environment, Messina (IAMC-CNR), Spianata S. Raineri, 86, 98122 Messina, TP, Italy;2. Instituto de Investigaciones Marinas y Costeras (IIMyC), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Estación Costera J. J. Nágera, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, 7600 Mar del Plata, Argentina;3. National Research Council - Institute for Coastal Marine Environment, Capo Granitola (IAMC-CNR), Via del Mare, 3, 91021 T.G. Campobello di Mazara, TP, Italy;1. Stonehill College, 320 Washington Street, North Easton, MA 02357, USA;2. Woods Hole Oceanographic Institution, Biology Department, 266 Woods Hole Road, Woods Hole, MA 02543, USA;3. Institute of Environmental Engineering, Department of Civil, Environmental, Geomatic Engineering, ETH Zürich, Stefano-Franscini-Platz 5, 8093 Zürich, Switzerland;4. Grove City College, Department of Mechanical Engineering, 100 Campus Drive, Grove City, PA 16127, USA;5. Northern Michigan University, 1401 Presque Isle Avenue, Marquette, MI 49855, USA |
| |
| Abstract: | The strain energy density theory is applied to analyze the fracture instability of a mechanical system whose behavior is governed by the interaction of geometry, load and material inhomogeneity. This is accomplished by obtaining the location of the global and local relative minima of the strain energy density function dW/dV denoted, respectively, by (dW/dV)min]g and (dW/dV)min]¢l. The former refers to a fixed global coordinate system for the entire solid while the latter corresponds to local coordinate systems referred to each material point. An unique length parameter “ℓ” representing the distance between (dW/dV)minmax]g and (dW/dV)minmax]ℓ can thus be found and serves as a measure of the degree of system instability tending toward failure by fracture.Numerical results are obtained and displayed graphically for the case of a solid containing an inclusion of dissimilar material. The changes that take place in material inhomogeneity, loading type and physical dimensions of the solid and inclusion are reflected through ℓ. The method suggests the compatibility of ℓ for each member of a multi-component structure in order to avoid premature failure of a single member. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
