Ward Small
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Ward Small has a total of 161 co-authors. Here are the top co-authors by number of shared publications:
- Thomas S. Wilson
Lawrence Livermore National Laboratory, Livermore, CA, 94550, USA
29 shared publications Duncan J. Maitland
Department of Biomedical Engineering, Texas A&M University, College Station, TX 77843, USA
11 shared publications- Duncan J. Maitland
Department of Biomedical Engineering, Texas A&M University, College Station, USA
11 shared publications Dennis L. Matthews
Department of Neurological Surgery, Center for Biophotonics, University of California Davis, Sacramento, California 95817
9 shared publicationsLuiz B. Da Silva
W. Small, P. M. Celliers, L. B. Da Silva, and D. L. Matthews are with Lawrence Livermore National Laboratory, L-399, P.O. Box 808, Livermore, California 94550.B. A. Soltz is with Conversion Energy Enterprises, 81 Pinebrook Road, Spring Valley, New York 10977
6 shared publications- Peter M. Celliers
Lawrence Livermore National Laboratory 1 , Livermore, California 94550
6 shared publications
Latest Publications
- Open Access
- 2 September 2021
- Published by Office of Scientific and Technical Information (OSTI)
Design and Initial Verification Testing of an In Situ Load Retention Aging Fixture
The U.S. Department of Energy's Office of Scientific and Technical Information
- 2 September 2021
- Published by Office of Scientific and Technical Information (OSTI)
Open AccessDesign and Initial Verification Testing of an In Situ Load Retention Aging Fixture
The U.S. Department of Energy's Office of Scientific and Technical Information
- Open Access
- 27 August 2021
- Published by American Chemical Society (ACS) in The Journal of Physical Chemistry B
- Vol. 125 (35) , 10047-10057
Constitutive Model of Radiation Aging Effects in Filled Silicone Elastomers under Strain
Filled silicone elastomers, an essential component in many technological applications, are often subjected to controlled or unintended radiation for a variety of reasons. Radiation exposure can lead to permanent mechanical and structural changes in the material, which is manifested as altered mechanical response, and in some cases, a permanent set. For unfilled elastomers, network theories developed and refined over decades can explain these effects in terms of chain-scission and cross-link formation and a hypothesis involving independent networks formed at different strain levels of the material. Here, we expose a filled silicone rubber to gamma radiation while being under finite elongational strain and show that the observed mechanical and structural changes can be quantitatively modeled within the same theoretical framework developed for unfilled elastomers as long as nuances associated with the Mullins effect are accounted for in a consistent manner. In this work, we employ Ogden’s incompressible hyperelastic model within the framework of Tobolsky’s two-network scheme to describe the observed permanent set and mechanical modulus changes as a function of radiation dosage. In the process, we conclude that gamma radiation induces both direct cross-linking at chain crossings (H-links) and main-chain-scission followed by cross-linking (Y-links). We provide an estimate of the ratio of chain-scission to cross-linking rates, which is in reasonable agreement with previous experimental estimate from Charlesby–Pinner analysis. We use density functional theory (DFT)-based quantum mechanical calculations to explore the stability of −Si and −SiO radicals that form upon a radiation-induced chain-scission event, which sheds light on the relative rates of Y-linking and H-linking processes.
- 27 August 2021
- Published by American Chemical Society (ACS) in The Journal of Physical Chemistry B
- Vol. 125 (35) , 10047-10057
Open AccessConstitutive Model of Radiation Aging Effects in Filled Silicone Elastomers under Strain
Filled silicone elastomers, an essential component in many technological applications, are often subjected to controlled or unintended radiation for a variety of reasons. Radiation exposure can lead to permanent mechanical and structural changes in the material, which is manifested as altered mechanical response, and in some cases, a permanent set. For unfilled elastomers, network theories developed and refined over decades can explain these effects in terms of chain-scission and cross-link formation and a hypothesis involving independent networks formed at different strain levels of the material. Here, we expose a filled silicone rubber to gamma radiation while being under finite elongational strain and show that the observed mechanical and structural changes can be quantitatively modeled within the same theoretical framework developed for unfilled elastomers as long as nuances associated with the Mullins effect are accounted for in a consistent manner. In this work, we employ Ogden’s incompressible hyperelastic model within the framework of Tobolsky’s two-network scheme to describe the observed permanent set and mechanical modulus changes as a function of radiation dosage. In the process, we conclude that gamma radiation induces both direct cross-linking at chain crossings (H-links) and main-chain-scission followed by cross-linking (Y-links). We provide an estimate of the ratio of chain-scission to cross-linking rates, which is in reasonable agreement with previous experimental estimate from Charlesby–Pinner analysis. We use density functional theory (DFT)-based quantum mechanical calculations to explore the stability of −Si and −SiO radicals that form upon a radiation-induced chain-scission event, which sheds light on the relative rates of Y-linking and H-linking processes.
- Open Access
- 4 November 2019
- Published by Springer Nature in Scientific Reports
- Vol. 9 (1) , 15923
Age-aware constitutive materials model for a 3D printed polymeric foam
Traditional open or closed-cell stochastic elastomeric foams have wide-ranging applications in numerous industries: from thermal insulation, shock absorbing/gap-filling support cushions, packaging, to light-weight structural and positional components. Recent developments in 3D printing technologies by direct ink-write have opened the possibility of replacing stochastic foam parts by more controlled printed micro-structures with superior stress-distribution and longer functional life. For successful deployment as mechanical support or structural components, it is crucial to characterize the response of such printed materials to long-term external loads in terms of stress-strain behavior evolution and in terms of irreversible structural and load-bearing capacity changes over time. To this end, here we report a thermal-age-aware constitutive model for a 3D printed close-packed foam structure under compression. The model is based on the Ogden hyperfoam strain-energy functional within the framework of Tobolsky two-network scheme. It accurately describes experimentally measured stress-strain response, compression set, and load retention for various aging times and temperatures. Through the technique of time-temperature-superposition the model enables the prediction of long-term changes along with the quantification of uncertainty stemming from sample-to-sample variation and measurement noise. All aging parameters appear to possess the same Arrhenius activation barrier, which suggests a single dominant aging mechanism at the molecular/network level.
- 4 November 2019
- Published by Springer Nature in Scientific Reports
- Vol. 9 (1) , 15923
Open AccessAge-aware constitutive materials model for a 3D printed polymeric foam
Traditional open or closed-cell stochastic elastomeric foams have wide-ranging applications in numerous industries: from thermal insulation, shock absorbing/gap-filling support cushions, packaging, to light-weight structural and positional components. Recent developments in 3D printing technologies by direct ink-write have opened the possibility of replacing stochastic foam parts by more controlled printed micro-structures with superior stress-distribution and longer functional life. For successful deployment as mechanical support or structural components, it is crucial to characterize the response of such printed materials to long-term external loads in terms of stress-strain behavior evolution and in terms of irreversible structural and load-bearing capacity changes over time. To this end, here we report a thermal-age-aware constitutive model for a 3D printed close-packed foam structure under compression. The model is based on the Ogden hyperfoam strain-energy functional within the framework of Tobolsky two-network scheme. It accurately describes experimentally measured stress-strain response, compression set, and load retention for various aging times and temperatures. Through the technique of time-temperature-superposition the model enables the prediction of long-term changes along with the quantification of uncertainty stemming from sample-to-sample variation and measurement noise. All aging parameters appear to possess the same Arrhenius activation barrier, which suggests a single dominant aging mechanism at the molecular/network level.
- 21 January 2018
- Published by Springer Nature in Journal of Materials Research
- Vol. 33 (3) , 309-316
A mechanical reduced order model for elastomeric 3D printed architectures
- 21 January 2018
- Published by Springer Nature in Journal of Materials Research
- Vol. 33 (3) , 309-316
A mechanical reduced order model for elastomeric 3D printed architectures
- 6 December 2017
- Published by Wiley in Macromolecular Rapid Communications
- Vol. 39 (4)
Custom 3D Printable Silicones with Tunable Stiffness
Silicone elastomers have broad versatility within a variety of potential advanced materials applications, such as soft robotics, biomedical devices, and metamaterials. A series of custom 3D printable silicone inks with tunable stiffness is developed, formulated, and characterized. The silicone inks exhibit excellent rheological behavior for 3D printing, as observed from the printing of porous structures with controlled architectures. Herein, the capability to tune the stiffness of printable silicone materials via careful control over the chemistry, network formation, and crosslink density of the ink formulations in order to overcome the challenging interplay between ink development, post‐processing, material properties, and performance is demonstrated.
- 6 December 2017
- Published by Wiley in Macromolecular Rapid Communications
- Vol. 39 (4)
Custom 3D Printable Silicones with Tunable Stiffness
Silicone elastomers have broad versatility within a variety of potential advanced materials applications, such as soft robotics, biomedical devices, and metamaterials. A series of custom 3D printable silicone inks with tunable stiffness is developed, formulated, and characterized. The silicone inks exhibit excellent rheological behavior for 3D printing, as observed from the printing of porous structures with controlled architectures. Herein, the capability to tune the stiffness of printable silicone materials via careful control over the chemistry, network formation, and crosslink density of the ink formulations in order to overcome the challenging interplay between ink development, post‐processing, material properties, and performance is demonstrated.
- Open Access
- 5 July 2017
- Published by Springer Nature in Scientific Reports
- Vol. 7 (1) , 4664
3D Printed Silicones with Shape Memory
Direct ink writing enables the layer-by-layer manufacture of ordered, porous structures whose mechanical behavior is driven by architecture and material properties. Here, we incorporate two different gas filled microsphere pore formers to evaluate the effect of shell stiffness and Tg on compressive behavior and compression set in siloxane matrix printed structures. The lower Tg microsphere structures exhibit substantial compression set when heated near and above Tg, with full structural recovery upon reheating without constraint. By contrast, the higher Tg microsphere structures exhibit reduced compression set with no recovery upon reheating. Aside from their role in tuning the mechanical behavior of direct ink write structures, polymer microspheres are good candidates for shape memory elastomers requiring structural complexity, with potential applications toward tandem shape memory polymers.
- 5 July 2017
- Published by Springer Nature in Scientific Reports
- Vol. 7 (1) , 4664
Open Access3D Printed Silicones with Shape Memory
Direct ink writing enables the layer-by-layer manufacture of ordered, porous structures whose mechanical behavior is driven by architecture and material properties. Here, we incorporate two different gas filled microsphere pore formers to evaluate the effect of shell stiffness and Tg on compressive behavior and compression set in siloxane matrix printed structures. The lower Tg microsphere structures exhibit substantial compression set when heated near and above Tg, with full structural recovery upon reheating without constraint. By contrast, the higher Tg microsphere structures exhibit reduced compression set with no recovery upon reheating. Aside from their role in tuning the mechanical behavior of direct ink write structures, polymer microspheres are good candidates for shape memory elastomers requiring structural complexity, with potential applications toward tandem shape memory polymers.
- Open Access
- 27 April 2016
- Published by Springer Nature in Scientific Reports
- Vol. 6 (1) , 24871
3D printed cellular solid outperforms traditional stochastic foam in long-term mechanical response
3D printing of polymeric foams by direct-ink-write is a recent technological breakthrough that enables the creation of versatile compressible solids with programmable microstructure, customizable shapes, and tunable mechanical response including negative elastic modulus. However, in many applications the success of these 3D printed materials as a viable replacement for traditional stochastic foams critically depends on their mechanical performance and micro-architectural stability while deployed under long-term mechanical strain. To predict the long-term performance of the two types of foams we employed multi-year-long accelerated aging studies under compressive strain followed by a time-temperature-superposition analysis using a minimum-arc-length-based algorithm. The resulting master curves predict superior long-term performance of the 3D printed foam in terms of two different metrics, i.e., compression set and load retention. To gain deeper understanding, we imaged the microstructure of both foams using X-ray computed tomography, and performed finite-element analysis of the mechanical response within these microstructures. This indicates a wider stress variation in the stochastic foam with points of more extreme local stress as compared to the 3D printed material, which might explain the latter’s improved long-term stability and mechanical performance.
- 27 April 2016
- Published by Springer Nature in Scientific Reports
- Vol. 6 (1) , 24871
Open Access3D printed cellular solid outperforms traditional stochastic foam in long-term mechanical response
3D printing of polymeric foams by direct-ink-write is a recent technological breakthrough that enables the creation of versatile compressible solids with programmable microstructure, customizable shapes, and tunable mechanical response including negative elastic modulus. However, in many applications the success of these 3D printed materials as a viable replacement for traditional stochastic foams critically depends on their mechanical performance and micro-architectural stability while deployed under long-term mechanical strain. To predict the long-term performance of the two types of foams we employed multi-year-long accelerated aging studies under compressive strain followed by a time-temperature-superposition analysis using a minimum-arc-length-based algorithm. The resulting master curves predict superior long-term performance of the 3D printed foam in terms of two different metrics, i.e., compression set and load retention. To gain deeper understanding, we imaged the microstructure of both foams using X-ray computed tomography, and performed finite-element analysis of the mechanical response within these microstructures. This indicates a wider stress variation in the stochastic foam with points of more extreme local stress as compared to the 3D printed material, which might explain the latter’s improved long-term stability and mechanical performance.
- 1 December 2014
- Published by Elsevier in Journal of the Mechanical Behavior of Biomedical Materials
- Vol. 40, 102-114
Reticulation of low density shape memory polymer foam with an in vivo demonstration of vascular occlusion
- 1 December 2014
- Published by Elsevier in Journal of the Mechanical Behavior of Biomedical Materials
- Vol. 40, 102-114
Reticulation of low density shape memory polymer foam with an in vivo demonstration of vascular occlusion
- 7 July 2014
- Published by Wiley in Journal of Biomedical Materials Research Part A
- Vol. 103 (4) , 1577-1594
Design and biocompatibility of endovascular aneurysm filling devices
The rupture of an intracranial aneurysm, which can result in severe mental disabilities or death, affects approximately 30,000 people in the United States annually. The traditional surgical method of treating these arterial malformations involves a full craniotomy procedure, wherein a clip is placed around the aneurysm neck. In recent decades, research and device development have focused on new endovascular treatment methods to occlude the aneurysm void space. These methods, some of which are currently in clinical use, utilize metal, polymeric, or hybrid devices delivered via catheter to the aneurysm site. In this review, we present several such devices, including those that have been approved for clinical use, and some that are currently in development. We present several design requirements for a successful aneurysm filling device and discuss the success or failure of current and past technologies. We also present novel polymeric‐based aneurysm filling methods that are currently being tested in animal models that could result in superior healing. © 2014 Wiley Periodicals, Inc. J Biomed Mater Res Part A 103A: 1577–1594, 2015.
- 7 July 2014
- Published by Wiley in Journal of Biomedical Materials Research Part A
- Vol. 103 (4) , 1577-1594
Design and biocompatibility of endovascular aneurysm filling devices
The rupture of an intracranial aneurysm, which can result in severe mental disabilities or death, affects approximately 30,000 people in the United States annually. The traditional surgical method of treating these arterial malformations involves a full craniotomy procedure, wherein a clip is placed around the aneurysm neck. In recent decades, research and device development have focused on new endovascular treatment methods to occlude the aneurysm void space. These methods, some of which are currently in clinical use, utilize metal, polymeric, or hybrid devices delivered via catheter to the aneurysm site. In this review, we present several such devices, including those that have been approved for clinical use, and some that are currently in development. We present several design requirements for a successful aneurysm filling device and discuss the success or failure of current and past technologies. We also present novel polymeric‐based aneurysm filling methods that are currently being tested in animal models that could result in superior healing. © 2014 Wiley Periodicals, Inc. J Biomed Mater Res Part A 103A: 1577–1594, 2015.
- Top Cited Papers
- 2 May 2014
- Published by Wiley in Advanced Functional Materials
- Vol. 24 (31) , 4905-4913
Three‐Dimensional Printing of Elastomeric, Cellular Architectures with Negative Stiffness
Three‐dimensional printing of viscoelastic inks to create porous, elastomeric architectures with mechanical properties governed by the ordered arrangement of their sub‐millimeter struts is reported. Two layouts are patterned, one resembling a “simple cubic” (SC)‐like structure and another akin to a “face‐centered tetragonal” (FCT) configuration. These structures exhibit markedly distinct load response with directionally dependent behavior, including negative stiffness. More broadly, these findings suggest the ability to independently tailor mechanical response in cellular solids via micro‐architected design. Such ordered materials may one day replace random foams in mechanical energy absorption applications.
- 2 May 2014
- Published by Wiley in Advanced Functional Materials
- Vol. 24 (31) , 4905-4913
Top Cited PapersThree‐Dimensional Printing of Elastomeric, Cellular Architectures with Negative Stiffness
Three‐dimensional printing of viscoelastic inks to create porous, elastomeric architectures with mechanical properties governed by the ordered arrangement of their sub‐millimeter struts is reported. Two layouts are patterned, one resembling a “simple cubic” (SC)‐like structure and another akin to a “face‐centered tetragonal” (FCT) configuration. These structures exhibit markedly distinct load response with directionally dependent behavior, including negative stiffness. More broadly, these findings suggest the ability to independently tailor mechanical response in cellular solids via micro‐architected design. Such ordered materials may one day replace random foams in mechanical energy absorption applications.