caa a22 4500 397572638 CHVBK 20180308164845.0 cr unu---uuuuu 161202e199605 xx s 000 0 eng 10.1093/qjmam/49.2.311 doi (NATIONALLICENCE)oxford-10.1093/qjmam/49.2.311 ON FINITE-LENGTH CRACKS AND INCLUSIONS IN POROELASTICITY [Elektronische Daten] [R. V. CRASTER, C. ATKINSON] A procedure is devised for the asymptotic solution of finite-length crack and inclusion problems under arbitrary time-dependent stress, pore pressure or pressure gradient loadings in porous elastic materials. The stress-intensity factors are identified explicitly as an expansion in real time for model problems involving uniformly loaded cracks. In the most general case this involves matched asymptotic expansions and rescalings that take advantage of the singular perturbation nature of the governing equations. The problems are written in terms of coupled Cauchy singular integral equations containing a small parameter; these can be combined to form a single subsidiary integral equation. This approach is used to split the problems into pieces driven by elastic, or pore-pressure, dominated solutions. Outer solutions that are driven by elastic solutions and eigensolutions are identified; these are matched to inner problems. The inner problems require the solution of a system of coupled integral equations; these are formulated in terms of functional equations. Fortunately the system uncouples and allows the inner solutions to be found explicitly. The pore-pressure driven pieces are deduced, to leading order, by a direct rescaling © Oxford University Press Articles nationallicence CRASTER R. V. Department of Theoretical Mechanics, University of Nottingham Nottingham NG7 2RD aut ATKINSON C. Department of Mathematics, Imperial College of Science Technology and Medicine, London SW7 2AZ aut The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/2(1996-05), 311-335 0033-5614 49:2<311 1996 49 qjmamj https://doi.org/10.1093/qjmam/49.2.311 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/49.2.311 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- CRASTER R. V. Department of Theoretical Mechanics, University of Nottingham Nottingham NG7 2RD aut NATIONALLICENCE 700 1- ATKINSON C. Department of Mathematics, Imperial College of Science Technology and Medicine, London SW7 2AZ aut NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/2(1996-05), 311-335 0033-5614 49:2<311 1996 49 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford