Incompatible 4-node element for gradient-dependent plasticity

Article


Chen, G. and Baker, Graham. 2004. "Incompatible 4-node element for gradient-dependent plasticity." Advances in Structural Engineering: an international journal. 7 (2), pp. 169-177. https://doi.org/10.1260/1369433041211066
Article Title

Incompatible 4-node element for gradient-dependent plasticity

ERA Journal ID4147
Article CategoryArticle
AuthorsChen, G. (Author) and Baker, Graham (Author)
Journal TitleAdvances in Structural Engineering: an international journal
Journal Citation7 (2), pp. 169-177
Number of Pages9
Year2004
PublisherSAGE Publications Ltd
Place of PublicationBrentwood, Essex, UK
ISSN1369-4332
2048-4011
Digital Object Identifier (DOI)https://doi.org/10.1260/1369433041211066
Abstract

In gradient-dependent plasticity theory, the yield strength depends on the Laplacian of an equivalent plastic strain measure (hardening parameter), and the consistency condition results in a differential equation with respect to the plastic multiplier. The plastic multiplier is then discretized on the mesh, in addition to the usual discretization of the displacements, and the consistency condition is solved simultaneously with the equilibrium equations. The notorious disadvantage is that the plastic multiplier requires a Hermitian interpolation which has four degrees of freedom at each node. However, in this article, an incompatible (trigonometric) interpolation is proposed for the plastic multiplier. This incompatible interpolation uses only the function values of each node, but both the function and first-order derivatives are continuous across element boundaries. It greatly reduces the degrees of freedom for a problem, and is shown through numerical examples on localization to give good results.

Keywordsgradient-dependent plasticity; incompatible element; trigonometric interpolation; strain localization
ANZSRC Field of Research 2020400510. Structural engineering
490302. Numerical analysis
400505. Construction materials
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Byline AffiliationsDepartment of Agricultural, Civil and Environmental Engineering
Faculty of Engineering and Surveying
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Nawi, Nazmi Mat, Chen, Guangnan and Jensen, Troy. 2013. "Visible and shortwave near infrared spectroscopy for predicting sugar content of sugarcane based on a cross-sectional scanning method." Journal of Near Infrared Spectroscopy. 21 (4), pp. 289-297. https://doi.org/10.1255/jnirs.1060
Development of EnergyCalc - a tool to assess cotton on-farm energy uses
Chen, Guangnan and Baillie, Craig. 2007. Development of EnergyCalc - a tool to assess cotton on-farm energy uses. Toowoomba, Australia. University of Southern Queensland.
Opportunities to enhance energy efficiency and minimise greenhouse gases in Queensland's intensive agricultural sector
Chen, Guangnan, Kupke, Paul and Baillie, Craig. 2008. Opportunities to enhance energy efficiency and minimise greenhouse gases in Queensland's intensive agricultural sector. Toowoomba, Australia. University of Southern Queensland.
Visible and shortwave near infrared spectroscopy to predict sugarcane quality from clear and raw juice samples
Nawi, N. M., Chen, G. and Jensen, T.. 2013. "Visible and shortwave near infrared spectroscopy to predict sugarcane quality from clear and raw juice samples." 3rd Malaysian Postgraduate Conference (MPC 2013). Sydney, Australia 04 - 05 Jul 2013 Sydney, Australia.
Application of visible and shortwave near infrared spectrometer to predict sugarcane quality from different sample forms
Nawi, Nazmi Mat, Chen, Guangnan and Jensen, Troy. 2013. "Application of visible and shortwave near infrared spectrometer to predict sugarcane quality from different sample forms." Kondo, Naoshi (ed.) 1st International Conference on Sensing Technologies for Biomaterial, Food and Agriculture (SeTBio 2013). Yokohama, Japan 23 - 25 Apr 2013 Bellingham, WA. United States. SPIE. https://doi.org/10.1117/12.2029395
Agriculture: energy use and conservation
Chen, Guangnan and Maraseni, Tek Narayan. 2013. "Agriculture: energy use and conservation." Jorgensen, S. E. (ed.) Encyclopedia of environmental management. New York, NY. United States. CRC Press. pp. 129-137
Buildings: climate change
Guan, Lisa and Chen, Guangnan. 2012. "Buildings: climate change." Jorgensen, Sven Erik (ed.) Encyclopedia of environmental management. New York, NY. United States. CRC Press. pp. 457-463
Air conditioning systems: design and energy efficiency
Guan, Lisa and Chen, Guangnan. 2012. "Air conditioning systems: design and energy efficiency." Capehart, Barney L. (ed.) Encyclopedia of energy engineering and technology. London, United Kingdom. CRC Press. pp. 1-8
Prediction and classification of sugar content of sugarcane based on skin scanning using visible and shortwave near infrared
Nawi, Nazmi Mat, Chen, Guangnan, Jensen, Troy and Mehdizadeh, Saman Abdanan. 2013. "Prediction and classification of sugar content of sugarcane based on skin scanning using visible and shortwave near infrared." Biosystems Engineering. 115 (2), pp. 154-161. https://doi.org/10.1016/j.biosystemseng.2013.03.005
Opportunities for reducing on-farm energy use and greenhouse gas emissions in sugarcane
Baillie, Craig and Chen, Guangnan. 2012. "Opportunities for reducing on-farm energy use and greenhouse gas emissions in sugarcane." Bruce, R. C. (ed.) 34th Annual Conference of the Australian Society of Sugar Cane Technologists (ASSCT 2012). Palm Cove, Australia 01 - 04 May 2012 Mackay, Australia.
Calculator for renewable energy resources for nursery production
Schmidt, E., Chen, G., Symes, T., Zhao, B. and Cameron, R.. 2010. Calculator for renewable energy resources for nursery production. Toowoomba, Australia. University of Southern Queensland.
Opportunities for reducing on-farm energy use and greenhouse gas emissions in sugarcane
Baillie, Craig and Chen, Guangnan. 2012. "Opportunities for reducing on-farm energy use and greenhouse gas emissions in sugarcane." International Sugar Journal: a technical and commercial periodical devoted entirely to the sugar and sweetener industry. 114 (1366), pp. 725-730.
The application of spectroscopic methods to predict sugarcane quality based on stalk cross-sectional scanning
Nawi, Nazmi Mat, Jensen, Troy and Chen, Guangnan. 2012. "The application of spectroscopic methods to predict sugarcane quality based on stalk cross-sectional scanning." American Society of Sugar Cane Technologists Journal. 32, pp. 16-27.
Potential technologies to measure sugarcane quality in the field
Nawi, Nazmi Mat, Chen, Guangnan, Jensen, Troy and Baillie, Craig. 2012. "Potential technologies to measure sugarcane quality in the field." 2012 International Conference of Agricultural Engineering (CIGR-AgEng 2012). Valencia, Spain 08 - 12 Jul 2012 Valencia, Spain.
Prediction of sugar content along the height of sugarcane internodes using VisNIR
Nawi, Nazmi Mat, Chen, Guangnan, Jensen, Troy and Baillie, Craig. 2012. "Prediction of sugar content along the height of sugarcane internodes using VisNIR." 2012 International Conference of Agricultural Engineering (CIGR-AgEng 2012). Valencia, Spain 08 - 12 Jul 2012 Valencia, Spain.
Enhancing the value of multiple use plantations: a case study from southeast Queensland, Australia
Maraseni, Tek Narayan, Cockfield, Geoff, Cadman, Tim, Chen, Guangnan and Qu, Jiansheng. 2012. "Enhancing the value of multiple use plantations: a case study from southeast Queensland, Australia." Agroforestry Systems. 86 (3), pp. 451-462. https://doi.org/10.1007/s10457-012-9506-8
Human energy expenditure in lowland rice cultivation in Malaysia
Nawi, N. M., Yahya, A., Chen, G., Bockari-Gevao, S. M. and Maraseni, T. N.. 2012. "Human energy expenditure in lowland rice cultivation in Malaysia." Journal of Agricultural Safety and Health. 18 (1), pp. 45-56. https://doi.org/10.13031/2013.41232
Transferring technology of measuring sugarcane quality from the laboratory to the field: what is possible?
Nawi, Nazmi Mat, Chen, Guangnan, Jensen, Troy and Baillie, Craig. 2011. "Transferring technology of measuring sugarcane quality from the laboratory to the field: what is possible?" Banhazi, T., Saunders, C. and Hegarty, R. (ed.) SEAg 2011: Diverse Challenges, Innovative Solutions. Gold Coast, Australia 29 - 30 Sep 2011 Canberra, Australia.
The application of spectroscopic methods to predict sugarcane quality based on stalk cross-sectional scanning
Nawi, Nazmi Mat, Jensen, Troy, Chen, Guangnan and Baillie, Craig. 2011. "The application of spectroscopic methods to predict sugarcane quality based on stalk cross-sectional scanning." Banhazi, T., Saunders, C. and Hegarty, R. (ed.) SEAg 2011: Diverse Challenges, Innovative Solutions. Gold Coast, Australia 29 - 30 Sep 2011 Canberra, Australia.
Energy use and development of online energy calculators for the nursery industry
Chen, G., Schmidt, E., Symes, T., Zhao, B. and Cameron, R.. 2011. "Energy use and development of online energy calculators for the nursery industry." Banhazi, T., Saunders, C. and Hegarty, R. (ed.) SEAg 2011: Diverse Challenges, Innovative Solutions. Gold Coast, Australia 29 - 30 Sep 2011 Canberra, Australia.
Energy, greenhouse gas emissions and irrigated agriculture
Baillie, C. P. and Chen, G.. 2011. "Energy, greenhouse gas emissions and irrigated agriculture." Banhazi, T., Saunders, C. and Hegarty, R. (ed.) SEAg 2011: Diverse Challenges, Innovative Solutions. Gold Coast, Australia 29 - 30 Sep 2011 Canberra, Australia.
Influences of green star rating tool on HVAC system design
Guan, Lisa and Chen, Guangnan. 2009. "Influences of green star rating tool on HVAC system design." Zhang, Xiaosong and Nan da Xue, Dong (ed.) 6th International Symposium on Heating, Ventilating and Air Conditioning (ISHVAC 2009). Nanjing, China 06 - 09 Nov 2009
Utilization of solar energy for building operation
Guan, Lisa and Chen, Guangnan. 2009. "Utilization of solar energy for building operation." Zhang, Xiaosong and Nan da Xue, Dong (ed.) 6th International Symposium on Heating, Ventilating and Air Conditioning (ISHVAC 2009). Nanjing, China 06 - 09 Nov 2009
An energy model for bifurcation analysis of a double-notched concrete panel: continuum model
Chen, Guangnan and Baker, Graham. 2003. "An energy model for bifurcation analysis of a double-notched concrete panel: continuum model." Advances in Structural Engineering: an international journal. 6 (1), pp. 45-51. https://doi.org/10.1260/136943303321625720
Material softening and structural instability
Chen, G. and Baker, Graham. 2003. "Material softening and structural instability." Advances in Structural Engineering: an international journal. 6 (4), pp. 353-357. https://doi.org/10.1260/136943303322771727
One-dimensional nonlinear model for prediction of crack spacing in concrete pavements
Chen, G. and Baker, Graham. 2005. "One-dimensional nonlinear model for prediction of crack spacing in concrete pavements." Advances in Structural Engineering: an international journal. 8 (6), pp. 595-602. https://doi.org/10.1260/136943305776318338
Energy profile and bifurcation analysis in softening plasticity
Chen, G. and Baker, Graham. 2004. "Energy profile and bifurcation analysis in softening plasticity." Advances in Structural Engineering: an international journal. 7 (6), pp. 515-523. https://doi.org/10.1260/1369433042863224
Analysis of crack spacing in reinforced concrete by a lattice model
Chen, G. and Baker, G.. 2004. "Analysis of crack spacing in reinforced concrete by a lattice model." Advances in Structural Engineering: an international journal. 7 (2), pp. 179-188. https://doi.org/10.1260/1369433041211084
An IRBFN cartesian grid method based on displacement-stress formulation for 2D elasticity problems
Le, P., Mai-Duy, N., Tran-Cong, T. and Baker, G.. 2008. "An IRBFN cartesian grid method based on displacement-stress formulation for 2D elasticity problems." Schrefler, B. A. and Perego, U. (ed.) 8th World Congress on Computational Mechanics (WCCM8), and 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008). Venice, Italy 30 Jun - 04 Jul 2008 Barcelona, Spain.
Torsional resistance of high-strength concrete beams
Hossain, T., Mendis, P. A., Aravinthan, Thiru and Baker, Graham. 2006. "Torsional resistance of high-strength concrete beams." Moss, Peter J. and Dhakal, Rajesh P. (ed.) 19th Australasian Conference on the Mechanics of Structures and Materials (ACMSM19). Christchurch, New Zealand 29 Nov - 01 Dec 2006 London, UK.
Energy uses for cotton ginning in Australia
Ismail, Siti A., Chen, Guangnan, Baillie, Craig and Symes, Troy. 2011. "Energy uses for cotton ginning in Australia." Biosystems Engineering. 109 (2), pp. 140-147. https://doi.org/10.1016/j.biosystemseng.2011.02.010
Energy usage for cotton ginning in Australia
Ismail, S. A., Chen, G., Baillie, C. and Symes, T.. 2010. "Energy usage for cotton ginning in Australia." 17th World Congress of the International Commission of Agricultural and Biosystems Engineering (CIGR 2010): Sustainable Biosystems Through Engineering. Quebec City, Canada 13 - 17 Jun 2010 Quebec City, Canada.
Solar energy: utilization in building operations
Guan, Lisa and Chen, Guangnan. 2010. "Solar energy: utilization in building operations." Capehart, Barney L. (ed.) Encyclopedia of energy engineering and technology. London, United Kingdom. Informa UK (Taylor & Francis Books). pp. 1-7
A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems
Le, Phong B. H., Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2010. "A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems." International Journal for Numerical Methods in Engineering. 82 (4), pp. 435-463. https://doi.org/10.1002/nme.2771
Energy and greenhouse gas emissions of Australian cotton: from field to fabric
Khabbaz, Borzoo Ghareei, Chen, Guangnan and Baillie, Craig. 2010. "Energy and greenhouse gas emissions of Australian cotton: from field to fabric." 17th World Congress of the International Commission of Agricultural and Biosystems Engineering (CIGR 2010): Sustainable Biosystems Through Engineering. Quebec City, Canada 13 - 17 Jun 2010 Quebec, Canada.
Development strategy of agricultural machinery based on energy-saving in China
Yang, Z., Chen, G., Duan, J., Peng, T. and Wang, J.. 2009. "Development strategy of agricultural machinery based on energy-saving in China." Banhazi, T. M. and Saunders, C. (ed.) SEAg 2009: Agricultural Technologies In a Changing Climate. Brisbane, Australia 13 - 16 Sep 2009 Brisbane, Australia.
Design and modeling of the structural integrity of a universal toolbar for two wheeled power tiller
Fraser, M. J., Chen, Guangnan, Esdaile, R. J. and Yang, Zhou. 2009. "Design and modeling of the structural integrity of a universal toolbar for two wheeled power tiller." Banhazi, T. M. and Saunders, C. (ed.) SEAg 2009: Agricultural Technologies In a Changing Climate. Brisbane, Australia 13 - 16 Sep 2009 Brisbane, Queensland.
Evaluation of energy usage for cotton ginning processes
Ismail, Siti Amni, Chen, Guangnan, Baillie, Craig and Symes, Troy. 2009. "Evaluation of energy usage for cotton ginning processes." Banhazi, T. M. and Saunders, C. (ed.) SEAg 2009: Agricultural Technologies In a Changing Climate. Brisbane, Australia 13 - 16 Sep 2009 Brisbane, Queensland.
Agricultural applications: energy uses and audits
Chen, Guangnan and Baillie, Craig. 2009. "Agricultural applications: energy uses and audits." Capehart, Barney L. (ed.) Encyclopedia of Energy Engineering and Technology. London, United Kingdom. Taylor & Francis. pp. 1-5
Economics of using aerated storage to minimise the impact of weather damage during wheat harvesting
Nawi, Nazmi Mat, Chen, Guangnan and Zare, Dariush. 2010. "Economics of using aerated storage to minimise the impact of weather damage during wheat harvesting." Biosystems Engineering. 105 (3), pp. 323-331. https://doi.org/10.1016/j.biosystemseng.2009.12.001
The effect of different climatic conditions on wheat harvesting strategy and return
Nawi, Nazmi Mat, Chen, Guangnan and Zare, Dariush. 2010. "The effect of different climatic conditions on wheat harvesting strategy and return." Biosystems Engineering. 106 (4), pp. 493-502. https://doi.org/10.1016/j.biosystemseng.2010.05.015
Towards a faster and broader application of biochar: appropriate marketing mechanisms
Maraseni, Tek Narayan, Chen, Guangnan and Qian, Guangren. 2010. "Towards a faster and broader application of biochar: appropriate marketing mechanisms." International Journal of Environmental Studies. 67 (6), pp. 851-860. https://doi.org/10.1080/00207233.2010.533892
An assessment of greenhouse gas emissions from the Australian vegetables industry
Maraseni, Tek N., Cockfield, Geoff, Maroulis, Jerry and Chen, Guangnan. 2010. "An assessment of greenhouse gas emissions from the Australian vegetables industry." Journal of Environmental Science and Health Part B: Pesticides, Food Contaminants, and Agricultural Wastes. 45 (6), pp. 578-588. https://doi.org/10.1080/03601234.2010.493497
A methodology for on farm energy assessment
Baillie, Craig Peter and Chen, Guangnan. 2009. "A methodology for on farm energy assessment." 2009 RIRDC Life Cycle Assessment Workshop. Canberra, Australia 13 May 2009 Barton, A.C.T..
Evaluating on-farm energy performance in agriculture
Chen, Guangnan, Baillie, Craig Peter and Kupke, Paul. 2009. "Evaluating on-farm energy performance in agriculture." Australian Journal of Multi-Disciplinary Engineering. 7 (1), pp. 55-62.
Incompatible 3-node interpolation for gradient-dependent plasticity
Chen, G. and Baker, Graham. 2004. "Incompatible 3-node interpolation for gradient-dependent plasticity." Structural Engineering and Mechanics. 17 (1), pp. 87-97.
Characteristics of solutions in softening plasticity and path criterion
Chen, G. and Baker, Graham. 2003. "Characteristics of solutions in softening plasticity and path criterion." Structural Engineering and Mechanics. 16 (2), pp. 141-152.
Reducing energy input costs and associated greenhouse gas emissions in cotton
Baillie, Craig Peter and Chen, Guangnan. 2008. "Reducing energy input costs and associated greenhouse gas emissions in cotton." 14th Australian Cotton Conference: New Beginnings – Cotton in a Climate of Change. Gold Coast, Australia 12 - 14 Aug 2008 Narrabri, NSW, Australia.
Life cycle energy and carbon footprint assessments: agricultural and food products
Chen, Guangnan, Maraseni, Tek and Yang, Zhou. 2010. "Life cycle energy and carbon footprint assessments: agricultural and food products." Capehart, Barney L. (ed.) Encyclopedia of energy engineering and technology. London, United Kingdom. Taylor & Francis. pp. 1-5
Evaluation of a simulation model in predicting the drying parameters for deep-bed paddy drying
Zare, Dariush and Chen, Guangnan. 2009. "Evaluation of a simulation model in predicting the drying parameters for deep-bed paddy drying." Computers and Electronics in Agriculture. 68 (1), pp. 78-87. https://doi.org/10.1016/j.compag.2009.04.007
Development of a framework and tool to assess on-farm energy uses of cotton production
Chen, Guangnan and Baillie, Craig. 2009. "Development of a framework and tool to assess on-farm energy uses of cotton production." Energy Conversion and Management. 50 (5), pp. 1256-1263. https://doi.org/10.1016/j.enconman.2009.01.022
Development of climate-based computer model to reduce crop harvest losses in Australia
Zare, Dariush and Chen, Guangnan. 2008. "Development of climate-based computer model to reduce crop harvest losses in Australia." AgEng2008: Agricultural and Biosystems Engineering for a Sustainable World. Crete, Greece 23 - 25 Jun 2008 Crete, Greece.
A meshless modeling of dynamic strain localization in quasi-brittle materials using radial basis function networks
Le, P., Mai-Duy, N., Tran-Cong, T. and Baker, G.. 2008. "A meshless modeling of dynamic strain localization in quasi-brittle materials using radial basis function networks." CMES Computer Modeling in Engineering and Sciences. 25 (1), pp. 43-67. https://doi.org/10.3970/cmes.2008.025.043
Design and development of a prototype small-plot research harvesting system
Chen, Guangnan, Schultz, Justin and Sulman, Richard. 2006. "Design and development of a prototype small-plot research harvesting system." CIGR 2006: Agricultural Engineering for a Better World. Bonn, Germany 03 - 07 Sep 2006 Dusseldorf, Germany.
A meshless IRBFN-based numerical simulation of dynamic strain localization in quasi-brittle materials
Le, Phong, Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2007. "A meshless IRBFN-based numerical simulation of dynamic strain localization in quasi-brittle materials." Taylor, R. L., Papadopoulos, P. and Zohdi, T. I. (ed.) USNCCM9: 9th US National Congress on Computational Mechanics. San Francisco, United States 22 - 26 Jul 2007 Austin, TX. United States.
A numerical study of strain localization in elasto-thermo-viscoplastic materials using radial basis function networks
Le, Phong, Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2007. "A numerical study of strain localization in elasto-thermo-viscoplastic materials using radial basis function networks." Computers, Materials and Continua. 5 (2), pp. 129-150. https://doi.org/10.3970/cmc.2007.005.129
Economics of using on-farm aeration grain storage
Nawi, Nazmi Mat and Chen, Guangnan. 2007. "Economics of using on-farm aeration grain storage." Banhazi, T. M. and Saunders, C. (ed.) SEAg 2007: Agriculture and Engineering - Challenge Today, Technology Tomorrow. Adelaide, Australia 24 - 26 Sep 2007 Adelaide, Australia.
Facilitation of effective reduction of greenhouse gas emissions from agricultural sector
Chen, Guangnan, Sekhesa, Calvin C. and Penton, Geoff. 2007. "Facilitation of effective reduction of greenhouse gas emissions from agricultural sector." Banhazi, T. M. and Saunders, C. (ed.) SEAg 2007: Agriculture and Engineering - Challenge Today, Technology Tomorrow. Adelaide, Australia 24 - 26 Sep 2007 Adelaide, Australia.
Drying operations: agricultural and forestry products
Chen, Guangnan. 2007. "Drying operations: agricultural and forestry products." Capehart, Barney L. (ed.) Encyclopedia of energy engineering and technology. London, United Kingdom. Informa UK (Taylor & Francis Books). pp. 332-337
Enhanced approach to consistency in gradient-dependent plasticity
Chen, G. and Baker, Graham. 2004. "Enhanced approach to consistency in gradient-dependent plasticity." Advances in Structural Engineering: an international journal. 7 (3), pp. 279-283. https://doi.org/10.1260/136943304323213229
An analytical model for predication of crack spacing due to shrinkage in concrete pavements
Chen, G. and Baker, Graham. 2004. "An analytical model for predication of crack spacing due to shrinkage in concrete pavements." Journal of Structural Engineering. 130 (10), pp. 1529-1533. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:10(1529)
Influence of bond slip on crack spacing in numerical modeling of reinforced concrete
Chen, G. and Baker, Graham. 2003. "Influence of bond slip on crack spacing in numerical modeling of reinforced concrete." Journal of Structural Engineering. 129 (11), pp. 1514-1521. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:11(1514)
A Rayleigh-Ritz procedure for localized buckling of a strut on a softening foundation by Hermite functions
Chen, G. and Baker, Graham. 2003. "A Rayleigh-Ritz procedure for localized buckling of a strut on a softening foundation by Hermite functions." International Journal of Solids and Structures. 40 (26), pp. 7463-7474. https://doi.org/10.1016/j.ijsolstr.2003.08.010
An anisotropic thermomechanical damage model for concrete at transient elevated temperatures
Baker, Graham and deBorst, Rene. 2005. "An anisotropic thermomechanical damage model for concrete at transient elevated temperatures." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 363 (1836), pp. 2603-2628. https://doi.org/10.1098/rsta.2005.1589
Thermodynamics in solid mechanics: a commentary
Baker, Graham. 2005. "Thermodynamics in solid mechanics: a commentary." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. A363 (1836), pp. 2465-2477. https://doi.org/10.1098/rsta.2005.1669
A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension
Le, Phong, Mai-Duy, Nam, Tran-Cong, Thanh and Baker, Graham. 2006. "A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension." Nguyen, Son Q. and Nguyen, Dung (ed.) 2006 International Conference on Nonlinear Analysis & Engineering Mechanics Today. Ho Chi Minh City, Vietnam 11 - 14 Dec 2006 Paris, France.
Life cycle assessment of a representative dairy farm with limited irrigation pastures
Chen, Guangnan, Orphant, Simon, Kenman, Sarah J. and Chataway, Robert G.. 2005. "Life cycle assessment of a representative dairy farm with limited irrigation pastures." James, Karli and Grant, Tim (ed.) 4th Australian Conference on Life Cycle Assessment. Sydney, Australia 23 - 25 Feb 2005 Sydney, Australia.