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Murdoch, A. Ian

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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: 46 Publications since 1975, including 2 Books

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 1,080 times in 657 Documents Cited by Year
A continuum theory of elastic material surfaces. Zbl 0326.73001
Gurtin, Morton E.; Murdoch, A. Ian
501
1975
Surface stress in solids. Zbl 0377.73001
Gurtin, Morton E.; Murdoch, A. Ian
246
1978
A thermodynamical theory of elastic material interfaces. Zbl 0398.73003
Murdoch, A. I.
42
1976
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.
25
2003
Some fundamental aspects of surface modelling. Zbl 1089.74012
Murdoch, A. Ian
23
2005
On criticism of the nature of objectivity in classical continuum physics. Zbl 1112.74316
Murdoch, A. I.
19
2005
Addenda to our paper: A continuum theory of elastic material surfaces. Zbl 0349.73008
Gurtin, Morton E.; Murdoch, A. Ian
18
1975
A critique of atomistic definitions of the stress tensor. Zbl 1120.74005
Murdoch, A. Ian
17
2007
A corpuscular approach to continuum mechanics: Basic considerations. Zbl 0569.73004
Murdoch, A. I.
16
1985
Symmetry considerations for material surfaces. Zbl 0424.73063
Murdoch, A. I.; Cohen, H.
15
1979
The motivation of continuum concepts and relations from discrete considerations. Zbl 0517.73004
Murdoch, A. I.
13
1983
On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases. Zbl 0533.76077
Murdoch, A. I.
13
1983
The propagation of surface waves in bodies with material boundaries. Zbl 0342.73017
Murdoch, A. I.
12
1976
On the microscopic interpretation of stress and couple stress. Zbl 1057.74004
Murdoch, A. Ian
12
2003
Symmetry considerations for materials of second grade. Zbl 0395.73001
Murdoch, A. Ian
11
1979
Physical foundations of continuum mechanics. Zbl 1280.82001
Murdoch, A. Ian
11
2012
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
8
2006
On the physical interpretation of fields in continuum mechanics. Zbl 0781.73003
Murdoch, A. I.; Bedeaux, D.
8
1993
A coordinate-free approach to surface kinematics. Zbl 0721.73016
Murdoch, A. I.
6
1990
On molecular modelling and continuum concepts. Zbl 1263.74003
Murdoch, A. Ian
5
2010
On material frame-indifference. Zbl 0486.73001
Murdoch, A. I.
4
1982
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.
4
1996
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
Symmetry considerations for material surfaces: Addendum. Zbl 0468.73003
Murdoch, A. I.; Cohen, H.
3
1981
On unfounded criticism of the simple fluid of Noll. Zbl 0528.76006
Murdoch, A. I.
3
1983
A scale-dependent model of the boundary of a solid body. Zbl 0899.73046
Murdoch, A. I.
3
1995
The effect of interfacial stress on the propagation of Stoneley waves. Zbl 0355.73023
Murdoch, A. I.
3
1977
On time-dependent material systems. Zbl 1213.74031
Murdoch, A. I.
3
2000
On the relationship between balance relations for generalized continua and molecular behaviour. Zbl 0645.73002
Murdoch, A. I.
3
1987
Remarks on the foundations of linear viscoelasticity. Zbl 0779.73017
Murdoch, A. I.
2
1992
On the identification of continuum concepts and fields with molecular variables. Zbl 1272.74014
Murdoch, A. I.
2
2011
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
On effecting averages and changes of scale via weighting functions. Zbl 0942.74003
Murdoch, A. I.
2
1998
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 the continuum theory of mixtures: Motivation from discrete considerations. Zbl 0621.76111
Murdoch, A. I.; Morro, A.
2
1987
On spatially-averaged electrokinetics of point charges and Maxwell’s equations. Zbl 1419.78002
Murdoch, A. Ian
1
2018
On wrinkling induced by surface stress at the boundary of an infinite circular cylinder. Zbl 0373.73077
Murdoch, A. Ian
1
1978
On phase transitions of elastic continua. Zbl 0374.73011
Murdoch, A. I.
1
1977
Radial vibrations of a gravitating sphere with a material boundary. Zbl 0392.73089
Murdoch, A. Ian
1
1978
Stress, body force, and momentum balance in mixture theory. Zbl 0612.73006
Morro, Angelo; Murdoch, A. Ian
1
1986
A remark on the modelling of thin three-dimensional regions. Zbl 0726.73043
Murdoch, A. I.
1
1990
On the slip-boundary condition for liquid flow over planar porous boundaries. Zbl 0952.76086
Murdoch, A. I.; Soliman, A.
1
1999
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
11
2012
On the identification of continuum concepts and fields with molecular variables. Zbl 1272.74014
Murdoch, A. I.
2
2011
On molecular modelling and continuum concepts. Zbl 1263.74003
Murdoch, A. Ian
5
2010
A critique of atomistic definitions of the stress tensor. Zbl 1120.74005
Murdoch, A. Ian
17
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
8
2006
Some fundamental aspects of surface modelling. Zbl 1089.74012
Murdoch, A. Ian
23
2005
On criticism of the nature of objectivity in classical continuum physics. Zbl 1112.74316
Murdoch, A. I.
19
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.
25
2003
On the microscopic interpretation of stress and couple stress. Zbl 1057.74004
Murdoch, A. Ian
12
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.
3
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.
2
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.
4
1996
A scale-dependent model of the boundary of a solid body. Zbl 0899.73046
Murdoch, A. I.
3
1995
On the physical interpretation of fields in continuum mechanics. Zbl 0781.73003
Murdoch, A. I.; Bedeaux, D.
8
1993
Remarks on the foundations of linear viscoelasticity. Zbl 0779.73017
Murdoch, A. I.
2
1992
A coordinate-free approach to surface kinematics. Zbl 0721.73016
Murdoch, A. I.
6
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.
3
1987
On the continuum theory of mixtures: Motivation from discrete considerations. Zbl 0621.76111
Murdoch, A. I.; Morro, A.
2
1987
Stress, body force, and momentum balance in mixture theory. Zbl 0612.73006
Morro, Angelo; Murdoch, A. Ian
1
1986
A corpuscular approach to continuum mechanics: Basic considerations. Zbl 0569.73004
Murdoch, A. I.
16
1985
The motivation of continuum concepts and relations from discrete considerations. Zbl 0517.73004
Murdoch, A. I.
13
1983
On material frame-indifference, intrinsic spin, and certain constitutive relations motivated by the kinetic theory of gases. Zbl 0533.76077
Murdoch, A. I.
13
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.
4
1982
Symmetry considerations for material surfaces: Addendum. Zbl 0468.73003
Murdoch, A. I.; Cohen, H.
3
1981
Symmetry considerations for material surfaces. Zbl 0424.73063
Murdoch, A. I.; Cohen, H.
15
1979
Symmetry considerations for materials of second grade. Zbl 0395.73001
Murdoch, A. Ian
11
1979
Surface stress in solids. Zbl 0377.73001
Gurtin, Morton E.; Murdoch, A. Ian
246
1978
On wrinkling induced by surface stress at the boundary of an infinite circular cylinder. Zbl 0373.73077
Murdoch, A. Ian
1
1978
Radial vibrations of a gravitating sphere with a material boundary. Zbl 0392.73089
Murdoch, A. Ian
1
1978
The effect of interfacial stress on the propagation of Stoneley waves. Zbl 0355.73023
Murdoch, A. I.
3
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.
42
1976
The propagation of surface waves in bodies with material boundaries. Zbl 0342.73017
Murdoch, A. I.
12
1976
A continuum theory of elastic material surfaces. Zbl 0326.73001
Gurtin, Morton E.; Murdoch, A. Ian
501
1975
Addenda to our paper: A continuum theory of elastic material surfaces. Zbl 0349.73008
Gurtin, Morton E.; Murdoch, A. Ian
18
1975
all top 5

Cited by 777 Authors

25 Schiavone, Peter
22 Eremeyev, Victor A.
22 Javili, Ali
22 Steinmann, Paul
20 Wang, Xu
14 Murdoch, A. Ian
13 Dai, Ming
12 Ansari, Reza
12 Gurtin, Morton Edward
10 Gao, Cun-Fa
10 Mi, Changwen
10 Mogilevskaya, Sofia G.
8 Park, Harold S.
7 Aghdam, Mohammad Mohammadi
7 Altenbach, Holm
7 Kiani, Keivan
7 Rouhi, Hessam
7 Steigmann, David J.
7 Stolarski, Henryk K.
6 Crouch, Steven L.
6 Mariano, Paolo Maria
6 Sahmani, Saeid
6 Shodja, Hossein M.
5 Fried, Eliot
5 Gharahi, Alireza
5 Gholami, Raheb
5 He, Qichang
5 Neff, Patrizio
5 Olshanskii, Maxim A.
5 Pietraszkiewicz, Wojciech
5 Reusken, Arnold
5 Rungamornrat, Jaroon
5 Senjuntichai, Teerapong
5 Šilhavý, Miroslav
5 Wang, Shuang
4 Attia, Mohamed Adel
4 Chen, Weiqiu
4 Davydov, Denis
4 Dingreville, Rémi
4 Fan, Hui
4 Fang, Xueqian
4 Grekov, Mikhail A.
4 Guidugli, Paolo Podio
4 Huang, Zaixing
4 Huang, Zhuping
4 Kondo, Djimédo
4 Korobeĭnikov, Sergeĭ Nikolaevich
4 Liu, Jinxi
4 McBride, Andrew T.
4 Nazemnezhad, Reza
4 Qu, Jianmin
4 Virga, Epifanio G.
4 Walton, Jay R.
4 Wei, Peijun
4 Xu, Yang
4 Yang, Hai-Bing
4 Zemlyanova, Anna Y.
4 Zhou, Shenjie
3 Bertram, Albrecht
3 Chatzigeorgiou, George
3 Chen, Tungyang
3 Cimmelli, Vito Antonio
3 Darabi, Mohammad A.
3 Dardel, Morteza
3 dell’Isola, Francesco
3 Dineva, Petia S.
3 Dormieux, Luc
3 Duan, Huiling
3 Ganghoffer, Jean-François
3 Gao, David Yang
3 Ghorbanpour Arani, Ali
3 Guo, Xingming
3 Hosseini-Hashemi, Shahrokh
3 Kadianakis, Nikos D.
3 Karihaloo, Bhushan Lal
3 Klein, Patrick A.
3 Kumar, Ajeet
3 Kushch, Volodymyr I.
3 Levitas, Valery I.
3 Li, Xianfang
3 Li, Xiaobao
3 Lu, Lu
3 Lucchesi, Massimiliano
3 Man, Chi-Sing
3 Matolcsi, Tamás
3 Maugin, Gérard A.
3 Meng, Junmiao
3 Mishuris, Gennady S.
3 Morozov, Nikita Fedorovich
3 Mosler, Jörn
3 Nazarenko, Lidiia
3 Panicaud, Benoit
3 Pitteri, Mario
3 Rajapakse, R. K. N. D.
3 Rosi, Giuseppe A.
3 Rouhaud, Emmanuelle
3 Segev, Reuven
3 Shaat, Mohamed
3 Sharma, Basant Lal
3 Shen, Shengping
...and 677 more Authors
all top 5

Cited in 82 Serials

93 Acta Mechanica
54 International Journal of Engineering Science
54 Mathematics and Mechanics of Solids
50 European Journal of Mechanics. A. Solids
49 Journal of Elasticity
37 Journal of the Mechanics and Physics of Solids
34 Applied Mathematical Modelling
28 Continuum Mechanics and Thermodynamics
27 Archive for Rational Mechanics and Analysis
25 Computer Methods in Applied Mechanics and Engineering
24 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 Meccanica
12 International Journal of Solids and Structures
11 Computational Mechanics
9 Archive of Applied Mechanics
9 Acta Mechanica Sinica
7 Engineering Analysis with Boundary Elements
7 AMM. Applied Mathematics and Mechanics. (English Edition)
5 International Journal for Numerical Methods in Engineering
5 Arabian Journal for Science and Engineering
4 Journal of Applied Mathematics and Mechanics
4 Journal of Computational Physics
4 Wave Motion
4 Applied Mathematics and Computation
4 International Journal of Fracture
3 Journal of Non-Equilibrium Thermodynamics
3 SIAM Journal on Applied Mathematics
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 International Journal of Plasticity
2 Journal of Engineering Mathematics
2 Journal of Mathematical Physics
2 Physica A
2 Theoretical and Computational Fluid Dynamics
2 Journal of Computational and Applied Mathematics
2 Applied Mathematics and Mechanics. (English Edition)
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 Doklady Physics
1 Modern Physics Letters B
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Ingenieur-Archiv
1 International Journal of Theoretical Physics
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Physics Reports
1 Mathematics of Computation
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 Vestnik St. Petersburg University. Mathematics
1 SIAM Journal on Scientific Computing
1 Calculus of Variations and Partial Differential Equations
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Journal of Mathematical Fluid Mechanics
1 Interfaces and Free Boundaries
1 Journal of Dynamical and Control Systems
1 Lobachevskii Journal of Mathematics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Sādhanā
1 Multiscale Modeling & Simulation
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 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Mathematical Physics
1 Journal of Theoretical Biology
1 Nonlinear Analysis. Theory, Methods & Applications

Citations by Year