A global extremum principle for the analysis of solids composed of softening material
dc.contributor.author | Taylor, J. E. | en_US |
dc.date.accessioned | 2006-04-10T15:59:10Z | |
dc.date.available | 2006-04-10T15:59:10Z | |
dc.date.issued | 1993 | en_US |
dc.identifier.citation | Taylor, J. E. (1993)."A global extremum principle for the analysis of solids composed of softening material." International Journal of Solids and Structures 30(15): 2057-2069. <http://hdl.handle.net/2027.42/31103> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6VJS-482GPR7-HY/2/4e8df4112a489692734c644afb760907 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/31103 | |
dc.description.abstract | An extremum principle is presented covering problems in solid mechanics equilibrium analysis for piecewise linear softening materials. Problems formulated according to this principle are expressed in a mixed "stress and deformation" form. The mechanics interpretation is limited according to linear deformation kinematics. More specialized models, such as an extremum principle in mixed form for linearly elastic materials, an equivalent to the minimum complementary energy principle and a statement of a bound theorem of Limit Analysis are identified as special cases within the general formulation. Numerical results are presented for two examples of one-dimensional structures made of inhomogeneous, softening material. The evolution of material degradation is demonstrated via a set of solutions obtained for increasing load. Each solution of the set is produced from a single application of a general purpose computer program for constrained nonlinear programming problems, operating on a finite element interpretation of the nonlinear continuum. | en_US |
dc.format.extent | 1032741 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | A global extremum principle for the analysis of solids composed of softening material | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mechanical Engineering | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Aerospace Engineering, College of Engineering, University of Michigan, Ann Arbor, MI 48109, U.S.A. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/31103/1/0000781.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0020-7683(93)90051-8 | en_US |
dc.identifier.source | International Journal of Solids and Structures | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe its collections in a way that respects the people and communities who create, use, and are represented in them. We encourage you to Contact Us anonymously if you encounter harmful or problematic language in catalog records or finding aids. More information about our policies and practices is available at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.