Integral formulation and fundamental solutions of dynamic poroelasticity and thermoelasticity

Manolis, George D.; Beskos, D.E.

doi:10.1007/bf01175798

Cited by 88 publications

(36 citation statements)

References 16 publications

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“…Since there is an analogy between the steady-state theories of thermoelasticity and poroelasticity (see e.g. Manolis and Beskos [30]), the present results are applicable in the latter case too. In this first-step analysis, the effect of friction is ignored and the indentor is assumed to be non-conducting.…”

Section: Introductionmentioning

confidence: 72%

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Rapid sliding motion of a rigid frictionless indentor with a flat base over a thermoelastic half-space

2012

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. (2012) 'Rapid sliding motion of a rigid frictionless indentor with a at base over a thermoelastic half-space.', Archive of applied mechanics., 82 (10). pp. 1481-1495. Further information on publisher's website:http://dx.doi.org/10.1007/s00419-012-0670-0Publisher's copyright statement:The nal publication is available at Springer via http://dx.doi.org/10.1007/s00419-012-0670-0Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Since there is an analogy between the steady-state theories of thermoelasticity and poroelasticity, the present results carry over to the latter case directly.

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Section: Introductionmentioning

confidence: 72%

“…The governing equations of the problem according to the linear coupled thermoelastodynamic theory [29,30,32] will now be written. With respect to a fixed Cartesian…”

Section: Problem Statementmentioning

confidence: 99%

Rapid sliding motion of a rigid frictionless indentor with a flat base over a thermoelastic half-space

2012

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“…Upon close inspection of their paper [1], the authors noticed a number of errors that have to be corrected. First of all, the coefficients ax2 and a2~ in equation (13) are not equal.…”

Section: Correctionsmentioning

confidence: 99%

Errata in ?Integral formulation and fundamental solutions of dynamic poroelasticity and thermoelasticity?

Manolis

Beskos²

1990

Acta Mechanica

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Act~ : 'VIechanica 76, 89--104 (1989) 1 CorrectionsUpon close inspection of their paper [1], the authors noticed a number of errors that have to be corrected. First of all, the coefficients ax2 and a2~ in equation (13) are not equal. This poses a problem with the reciprocal relation, because unwanted terms appear in equation (19) involving volume integrals of both solid displacements ~ and relative fluid displacements @~. To avoid this, the problem must be reformulated with the absolute fluid displacements Ui replacing wi. In that ease, equations (1) are replaced by Biot's equations in their original formwhile equations (6) and (8) can be disregarded. Next. it should be noted that aij in (4.1) and (10.1) has to be replaced by zo. These changes affect equations (13) ~,i + Xi = (o~s 2 -bs) ~i + (e~s 2 + bs) U~ --(e,~ + e~) (sh~ + ~i)(13) Now, in order to leave all material from Sections 4, 5, 7 and 8 unaffected by the above changes except for the key substitution of Ui in place of wi, the tractions ii should be replaced by ii* = u Equation (48), however, remains as it is apart from changing Np~j to Ujkj. There are also some typing errors. On the first line following equation (15), the term right-hand side must be replaced by the term left-hand side, while the opposite must happen on the first line following equation (19). Also, on the first integral in equations (16), (18) and (19) the primes must be moved from the stresses vii, * to the strains gii, g. A term was missing from equation (34)

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“…The Green's tensors have already been derived by several authors using either Helmholtz decomposition or the so-called Kupradze's method (Burridge & Vargas, 1979;Norris, 1985;Bonnet, 1987;Manolis & Beskos, 1989;Philippacopoulos, 1998;Sahay, 2001), and considering different sources. In the paper by Burridge & Vargas (1979) only a force applied to the total medium (fluid and solid) is included, i.e., a vector containing three sources (components).…”

Section: Introductionmentioning

confidence: 99%

“…In the paper by Burridge & Vargas (1979) only a force applied to the total medium (fluid and solid) is included, i.e., a vector containing three sources (components). Other authors considered only a force applied to the solid of the porous medium (Norris, 1985;Philippacopoulos, 1998), which implies also three sources, while Manolis & Beskos (1989) included forces applied to both the solid and fluid, i.e., six sources. Sahay (2001) also included six sources but with a different physical meaning, i.e., one force associated with the inphase fluid-solid motion (applied to the center of mass of the porous medium), and one with the relative motion of the fluid and solid.…”

Section: Introductionmentioning

confidence: 99%

Multi-Component Acoustic Characterization of Porous Media

Dalen

2013

Springer Theses

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Integral formulation and fundamental solutions of dynamic poroelasticity and thermoelasticity

Cited by 88 publications

References 16 publications

Rapid sliding motion of a rigid frictionless indentor with a flat base over a thermoelastic half-space

Rapid sliding motion of a rigid frictionless indentor with a flat base over a thermoelastic half-space

Errata in ?Integral formulation and fundamental solutions of dynamic poroelasticity and thermoelasticity?

Multi-Component Acoustic Characterization of Porous Media

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