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Author ID: murdoch.a-ian Recent zbMATH articles by "Murdoch, A. Ian"
Published as: Murdoch, A. I.; Murdoch, A. Ian
Documents Indexed: 45 Publications since 1975, including 1 Book
1 Contribution as Editor
Co-Authors: 6 Co-Authors with 13 Joint Publications
197 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 1,587 times in 945 Documents Cited by Year
A continuum theory of elastic material surfaces. Zbl 0326.73001
Gurtin, Morton E.; Murdoch, A. Ian
744
1975
Surface stress in solids. Zbl 0377.73001
Gurtin, Morton E.; Murdoch, A. Ian
385
1978
A thermodynamical theory of elastic material interfaces. Zbl 0398.73003
Murdoch, A. I.
56
1976
Addenda to our paper: A continuum theory of elastic material surfaces. Zbl 0349.73008
Gurtin, Morton E.; Murdoch, A. Ian
36
1975
Some fundamental aspects of surface modelling. Zbl 1089.74012
Murdoch, A. Ian
31
2005
Objectivity in classical continuum physics: A rationale for discarding the ‘principle of invariance under superposed rigid body motions’ in favour of purely objective considerations. Zbl 1068.74515
Murdoch, A. I.
28
2003
A corpuscular approach to continuum mechanics: Basic considerations. Zbl 0569.73004
Murdoch, A. I.
25
1985
Symmetry considerations for material surfaces. Zbl 0424.73063
Murdoch, A. I.; Cohen, H.
24
1979
On criticism of the nature of objectivity in classical continuum physics. Zbl 1112.74316
Murdoch, A. I.
20
2005
A critique of atomistic definitions of the stress tensor. Zbl 1120.74005
Murdoch, A. Ian
20
2007
The motivation of continuum concepts and relations from discrete considerations. Zbl 0517.73004
Murdoch, A. I.
19
1983
Physical foundations of continuum mechanics. Zbl 1280.82001
Murdoch, A. Ian
17
2012
The propagation of surface waves in bodies with material boundaries. Zbl 0342.73017
Murdoch, A. I.
17
1976
On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases. Zbl 0533.76077
Murdoch, A. I.
17
1983
On the microscopic interpretation of stress and couple stress. Zbl 1057.74004
Murdoch, A. Ian
14
2003
Symmetry considerations for materials of second grade. Zbl 0395.73001
Murdoch, A. Ian
13
1979
On the physical interpretation of fields in continuum mechanics. Zbl 0781.73003
Murdoch, A. I.; Bedeaux, D.
12
1993
On objectivity and material symmetry for simple elastic solids. Zbl 1001.74004
Murdoch, A. Ian
10
2000
Some primitive concepts in continuum mechanics regarded in terms of objective space-time molecular averaging: the key rôle played by inertial observers. Zbl 1103.74010
Murdoch, A. Ian
10
2006
A coordinate-free approach to surface kinematics. Zbl 0721.73016
Murdoch, A. I.
7
1990
A scale-dependent model of the boundary of a solid body. Zbl 0899.73046
Murdoch, A. I.
6
1995
On the relationship between balance relations for generalized continua and molecular behaviour. Zbl 0645.73002
Murdoch, A. I.
6
1987
On molecular modelling and continuum concepts. Zbl 1263.74003
Murdoch, A. Ian
6
2010
A microscopic perspective on the physical foundations of continuum mechanics. I: Macroscopic states, reproducibility, and macroscopic statistics, at prescribed scales of length and time. Zbl 0929.74006
Murdoch, A. I.; Bedeaux, D.
5
1996
On material frame-indifference. Zbl 0486.73001
Murdoch, A. I.
5
1982
Symmetry considerations for material surfaces: Addendum. Zbl 0468.73003
Murdoch, A. I.; Cohen, H.
5
1981
On the identification of continuum concepts and fields with molecular variables. Zbl 1272.74014
Murdoch, A. I.
4
2011
On time-dependent material systems. Zbl 1213.74031
Murdoch, A. I.
4
2000
On effecting averages and changes of scale via weighting functions. Zbl 0942.74003
Murdoch, A. I.
4
1998
The effect of interfacial stress on the propagation of Stoneley waves. Zbl 0355.73023
Murdoch, A. I.
4
1977
On the continuum theory of mixtures: Motivation from discrete considerations. Zbl 0621.76111
Murdoch, A. I.; Morro, A.
4
1987
Macroscale balance relations for bulk, interfacial and common line systems in multiphase flows through porous media on the basis of molecular considerations. Zbl 1137.76692
Murdoch, A. I.; Hassanizadeh, S. M.
4
2002
Modelling macroscopic phenomena at liquid boundaries. Lectures of an advanced school, held at CISM, Udine, Italy, from June 25-29, 1990. Zbl 0742.00076
3
1991
Stress, body force, and momentum balance in mixture theory. Zbl 0612.73006
Morro, Angelo; Murdoch, A. Ian
3
1986
On unfounded criticism of the simple fluid of Noll. Zbl 0528.76006
Murdoch, A. I.
3
1983
A microscopic perspective on the physical foundations of continuum mechanics. II: A projection operator approach to the separation of reversible and irreversible contributions to macroscopic behaviour. Zbl 0914.73009
Murdoch, A. I.; Bedeaux, D.
2
1997
Remarks on the foundations of linear viscoelasticity. Zbl 0779.73017
Murdoch, A. I.
2
1992
On wrinkling induced by surface stress at the boundary of an infinite circular cylinder. Zbl 0373.73077
Murdoch, A. Ian
2
1978
Characterization of microstates for confined systems and associated scale-dependent continuum fields via Fourier coefficients. Zbl 1001.70010
Murdoch, A. I.; Bedeaux, D.
2
2001
Radial vibrations of a gravitating sphere with a material boundary. Zbl 0392.73089
Murdoch, A. Ian
2
1978
A personal appreciation of Walter Noll. Zbl 1412.01029
Murdoch, A. Ian
1
2019
On spatially-averaged electrokinetics of point charges and Maxwell’s equations. Zbl 1419.78002
Murdoch, A. Ian
1
2018
On the slip-boundary condition for liquid flow over planar porous boundaries. Zbl 0952.76086
Murdoch, A. I.; Soliman, A.
1
1999
On the physical interpretation of fluid interfacial concepts and fields. Zbl 0762.76002
Murdoch, A. I.
1
1991
On phase transitions of elastic continua. Zbl 0374.73011
Murdoch, A. I.
1
1977
A remark on the modelling of thin three-dimensional regions. Zbl 0726.73043
Murdoch, A. I.
1
1990
A personal appreciation of Walter Noll. Zbl 1412.01029
Murdoch, A. Ian
1
2019
On spatially-averaged electrokinetics of point charges and Maxwell’s equations. Zbl 1419.78002
Murdoch, A. Ian
1
2018
Physical foundations of continuum mechanics. Zbl 1280.82001
Murdoch, A. Ian
17
2012
On the identification of continuum concepts and fields with molecular variables. Zbl 1272.74014
Murdoch, A. I.
4
2011
On molecular modelling and continuum concepts. Zbl 1263.74003
Murdoch, A. Ian
6
2010
A critique of atomistic definitions of the stress tensor. Zbl 1120.74005
Murdoch, A. Ian
20
2007
Some primitive concepts in continuum mechanics regarded in terms of objective space-time molecular averaging: the key rôle played by inertial observers. Zbl 1103.74010
Murdoch, A. Ian
10
2006
Some fundamental aspects of surface modelling. Zbl 1089.74012
Murdoch, A. Ian
31
2005
On criticism of the nature of objectivity in classical continuum physics. Zbl 1112.74316
Murdoch, A. I.
20
2005
Objectivity in classical continuum physics: A rationale for discarding the ‘principle of invariance under superposed rigid body motions’ in favour of purely objective considerations. Zbl 1068.74515
Murdoch, A. I.
28
2003
On the microscopic interpretation of stress and couple stress. Zbl 1057.74004
Murdoch, A. Ian
14
2003
Macroscale balance relations for bulk, interfacial and common line systems in multiphase flows through porous media on the basis of molecular considerations. Zbl 1137.76692
Murdoch, A. I.; Hassanizadeh, S. M.
4
2002
Characterization of microstates for confined systems and associated scale-dependent continuum fields via Fourier coefficients. Zbl 1001.70010
Murdoch, A. I.; Bedeaux, D.
2
2001
On objectivity and material symmetry for simple elastic solids. Zbl 1001.74004
Murdoch, A. Ian
10
2000
On time-dependent material systems. Zbl 1213.74031
Murdoch, A. I.
4
2000
On the slip-boundary condition for liquid flow over planar porous boundaries. Zbl 0952.76086
Murdoch, A. I.; Soliman, A.
1
1999
On effecting averages and changes of scale via weighting functions. Zbl 0942.74003
Murdoch, A. I.
4
1998
A microscopic perspective on the physical foundations of continuum mechanics. II: A projection operator approach to the separation of reversible and irreversible contributions to macroscopic behaviour. Zbl 0914.73009
Murdoch, A. I.; Bedeaux, D.
2
1997
A microscopic perspective on the physical foundations of continuum mechanics. I: Macroscopic states, reproducibility, and macroscopic statistics, at prescribed scales of length and time. Zbl 0929.74006
Murdoch, A. I.; Bedeaux, D.
5
1996
A scale-dependent model of the boundary of a solid body. Zbl 0899.73046
Murdoch, A. I.
6
1995
On the physical interpretation of fields in continuum mechanics. Zbl 0781.73003
Murdoch, A. I.; Bedeaux, D.
12
1993
Remarks on the foundations of linear viscoelasticity. Zbl 0779.73017
Murdoch, A. I.
2
1992
Modelling macroscopic phenomena at liquid boundaries. Lectures of an advanced school, held at CISM, Udine, Italy, from June 25-29, 1990. Zbl 0742.00076
3
1991
On the physical interpretation of fluid interfacial concepts and fields. Zbl 0762.76002
Murdoch, A. I.
1
1991
A coordinate-free approach to surface kinematics. Zbl 0721.73016
Murdoch, A. I.
7
1990
A remark on the modelling of thin three-dimensional regions. Zbl 0726.73043
Murdoch, A. I.
1
1990
On the relationship between balance relations for generalized continua and molecular behaviour. Zbl 0645.73002
Murdoch, A. I.
6
1987
On the continuum theory of mixtures: Motivation from discrete considerations. Zbl 0621.76111
Murdoch, A. I.; Morro, A.
4
1987
Stress, body force, and momentum balance in mixture theory. Zbl 0612.73006
Morro, Angelo; Murdoch, A. Ian
3
1986
A corpuscular approach to continuum mechanics: Basic considerations. Zbl 0569.73004
Murdoch, A. I.
25
1985
The motivation of continuum concepts and relations from discrete considerations. Zbl 0517.73004
Murdoch, A. I.
19
1983
On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases. Zbl 0533.76077
Murdoch, A. I.
17
1983
On unfounded criticism of the simple fluid of Noll. Zbl 0528.76006
Murdoch, A. I.
3
1983
On material frame-indifference. Zbl 0486.73001
Murdoch, A. I.
5
1982
Symmetry considerations for material surfaces: Addendum. Zbl 0468.73003
Murdoch, A. I.; Cohen, H.
5
1981
Symmetry considerations for material surfaces. Zbl 0424.73063
Murdoch, A. I.; Cohen, H.
24
1979
Symmetry considerations for materials of second grade. Zbl 0395.73001
Murdoch, A. Ian
13
1979
Surface stress in solids. Zbl 0377.73001
Gurtin, Morton E.; Murdoch, A. Ian
385
1978
On wrinkling induced by surface stress at the boundary of an infinite circular cylinder. Zbl 0373.73077
Murdoch, A. Ian
2
1978
Radial vibrations of a gravitating sphere with a material boundary. Zbl 0392.73089
Murdoch, A. Ian
2
1978
The effect of interfacial stress on the propagation of Stoneley waves. Zbl 0355.73023
Murdoch, A. I.
4
1977
On phase transitions of elastic continua. Zbl 0374.73011
Murdoch, A. I.
1
1977
A thermodynamical theory of elastic material interfaces. Zbl 0398.73003
Murdoch, A. I.
56
1976
The propagation of surface waves in bodies with material boundaries. Zbl 0342.73017
Murdoch, A. I.
17
1976
A continuum theory of elastic material surfaces. Zbl 0326.73001
Gurtin, Morton E.; Murdoch, A. Ian
744
1975
Addenda to our paper: A continuum theory of elastic material surfaces. Zbl 0349.73008
Gurtin, Morton E.; Murdoch, A. Ian
36
1975
all top 5

Cited by 1,192 Authors

33 Eremeyev, Victor A.
32 Schiavone, Peter
27 Javili, Ali
26 Steinmann, Paul
24 Wang, Xu
22 Murdoch, A. Ian
18 Dai, Ming
17 Mogilevskaya, Sofia G.
15 Ansari, Reza
14 Gao, Cun-Fa
14 Gao, Xinlin
12 Altenbach, Holm
12 Gurtin, Morton Edward
12 Kiani, Keivan
12 Mi, Changwen
12 Olshanskii, Maxim A.
11 Zhang, Gongye
9 Grekov, Mikhail A.
9 Reusken, Arnold
9 Rouhi, Hessam
9 Steigmann, David J.
9 Zemlyanova, Anna Y.
8 Dineva, Petia S.
8 Gharahi, Alireza
8 Mariano, Paolo Maria
8 Park, Harold S.
8 Rungamornrat, Jaroon
8 Shodja, Hossein M.
8 Stolarski, Henryk K.
7 Attia, Mohamed Adel
7 Chen, Weiqiu
7 Gholami, Raheb
7 Jin, Qiduo
7 Kushch, Volodymyr I.
7 McBride, Andrew T.
7 Xiao, Junhua
6 Chen, Qiang
6 Crouch, Steven L.
6 Fried, Eliot
6 Hashemi Kachapi, Sayyid H.
6 He, Qichang
6 Jin, Feng
6 Li, Li
6 Li, Xianfang
6 Liu, Youwen
6 Mosler, Jörn
6 Pietraszkiewicz, Wojciech
6 Ren, Yiru
6 Senjuntichai, Teerapong
6 Šilhavý, Miroslav
6 Wang, Shuang
5 Chatzigeorgiou, George
5 dell’Isola, Francesco
5 Duan, Huiling
5 Fan, Hui
5 Fang, Qihong
5 Guidugli, Paolo Podio
5 Guo, Junhong
5 Hu, Zhen-Liang
5 Huang, Zhuping
5 Li, Shaofan
5 Lim, Cheewah
5 Liu, Jinxi
5 Nazarenko, Lidiia
5 Nazemnezhad, Reza
5 Neff, Patrizio
5 Sahmani, Saeid
5 Wang, Gangfeng
5 Zhang, Chuanzeng
5 Zhiliakov, Alexander
5 Zhou, Shenjie
4 Abadyan, Mohamadreza
4 Ban, Youxue
4 Davydov, Denis
4 Dingreville, Rémi
4 Fan, Tao
4 Fang, Xueqian
4 Gu, Shuitao
4 Hosseini-Hashemi, Shahrokh
4 Huang, Zaixing
4 Karihaloo, Bhushan Lal
4 Khoei, Amir R.
4 Kondo, Djimédo
4 Koochi, Ali
4 Kumar, Ajeet
4 Levitas, Valery I.
4 Li, Peng
4 Li, Xiaobao
4 Mallikarjunaiah, S. M.
4 Maugin, Gérard A.
4 Panicaud, Benoit
4 Qu, Jianmin
4 Quaini, Annalisa
4 Rajapakse, R. K. N. D.
4 Rangelov, Tsviatko V.
4 Rosi, Giuseppe A.
4 Rouhaud, Emmanuelle
4 Shanab, Rabab A.
4 Tadmor, Ellad B.
4 Virga, Epifanio G.
...and 1,092 more Authors
all top 5

Cited in 108 Serials

125 Acta Mechanica
93 International Journal of Engineering Science
74 European Journal of Mechanics. A. Solids
62 Mathematics and Mechanics of Solids
54 Journal of Elasticity
49 Applied Mathematical Modelling
48 Journal of the Mechanics and Physics of Solids
37 Computer Methods in Applied Mechanics and Engineering
33 Continuum Mechanics and Thermodynamics
28 ZAMP. Zeitschrift für angewandte Mathematik und Physik
27 Archive for Rational Mechanics and Analysis
23 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
20 Engineering Analysis with Boundary Elements
16 Meccanica
16 Computational Mechanics
16 AMM. Applied Mathematics and Mechanics. (English Edition)
13 International Journal for Numerical Methods in Engineering
12 International Journal of Solids and Structures
12 International Journal of Structural Stability and Dynamics
11 Acta Mechanica Sinica
9 Physics Letters. A
9 Archive of Applied Mechanics
5 Journal of Computational Physics
5 Applied Mathematics and Computation
5 Arabian Journal for Science and Engineering
4 Journal of Applied Mathematics and Mechanics
4 Journal of Engineering Mathematics
4 Wave Motion
4 SIAM Journal on Applied Mathematics
4 International Journal of Fracture
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Mathematical Methods in the Applied Sciences
3 Journal of Non-Equilibrium Thermodynamics
3 Waves in Random and Complex Media
2 Computers & Mathematics with Applications
2 International Journal of Plasticity
2 Journal of Mathematical Physics
2 Physica A
2 Mathematics of Computation
2 Theoretical and Computational Fluid Dynamics
2 Journal of Computational and Applied Mathematics
2 Applied Mathematics and Mechanics. (English Edition)
2 Physica D
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 SIAM Journal on Mathematical Analysis
2 Nonlinear Dynamics
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Interfaces and Free Boundaries
2 Communications in Nonlinear Science and Numerical Simulation
2 Doklady Physics
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Multiscale Modeling & Simulation
2 Advances in Applied Mathematics and Mechanics
2 Mathematics and Mechanics of Complex Systems
1 Modern Physics Letters B
1 International Journal of Modern Physics B
1 Applicable Analysis
1 Archives of Mechanics
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 Fluid Dynamics
1 Ingenieur-Archiv
1 International Journal for Numerical Methods in Fluids
1 International Journal of Theoretical Physics
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Mathematical Biosciences
1 Physics Reports
1 Journal of Geometry and Physics
1 Journal of Theoretical and Applied Mechanics (Sofia)
1 Glasgow Mathematical Journal
1 Journal of Functional Analysis
1 Mechanics Research Communications
1 Quarterly of Applied Mathematics
1 SIAM Journal on Numerical Analysis
1 Applied Mathematics Letters
1 Journal of Integral Equations and Applications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal of Nonlinear Science
1 Vestnik St. Petersburg University. Mathematics
1 SIAM Journal on Scientific Computing
1 Calculus of Variations and Partial Differential Equations
1 Numerical Linear Algebra with Applications
1 Vietnam Journal of Mathematics
1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
1 Journal of Mathematical Fluid Mechanics
1 Journal of Dynamical and Control Systems
1 Lobachevskii Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Computational Methods in Applied Mathematics
1 Sādhanā
1 Journal of Numerical Mathematics
1 Granular Matter
1 International Journal of Geometric Methods in Modern Physics
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 GAMM-Mitteilungen
1 Journal of Physics A: Mathematical and Theoretical
1 Communications in Computational Physics
...and 8 more Serials

Citations by Year