A continuum theory of amorphous solids undergoing large deformations, with application to polymeric glasses
This paper summarizes a recently developed continuum theory for the elastic-viscoplastic deformation of amorphous solids such as polymeric and metallic glasses. Introducing an internal-state variable that represents the local free-volume associated with certain metastable states, we are able to capt...
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| Format: | Artikel |
| Sprache: | en_US |
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2003
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| Online Zugang: | http://hdl.handle.net/1721.1/3660 |
| _version_ | 1826213731233693696 |
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| author | Anand, Lallit |
| author_facet | Anand, Lallit |
| author_sort | Anand, Lallit |
| collection | MIT |
| description | This paper summarizes a recently developed continuum theory for the elastic-viscoplastic deformation of amorphous solids such as polymeric and metallic glasses. Introducing an internal-state variable that represents the local free-volume associated with certain metastable states, we are able to capture the highly non-linear stress-strain behavior that precedes the yield-peak and gives rise to post-yield strain-softening. Our theory explicitly accounts for the dependence of the Helmholtz free energy on the plastic deformation in a thermodynamically consistent manner. This dependence leads directly to a backstress in the underlying flow rule, and allows us to model the rapid strain-hardening response after the initial yield-drop in monotonic deformations, as well as the Bauschinger-type reverse-yielding phenomena typically observed in amorphous polymeric solids upon unloading after large plastic deformations. We have implemented a special set of constitutive equations resulting from the general theory in a finite-element computer program. Using this finite-element program, we apply the specialized equations to model the large-deformation response of the amorphous polymeric solid polycarbonate, at ambient temperature and pressure. We show numerical results to some representative problems, and compare them against corresponding results from physical experiments. |
| first_indexed | 2024-09-23T15:53:55Z |
| format | Article |
| id | mit-1721.1/3660 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:53:55Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | mit-1721.1/36602019-04-10T12:16:16Z A continuum theory of amorphous solids undergoing large deformations, with application to polymeric glasses Anand, Lallit amorphous solids metallic glasses plasticity polymeric glasses This paper summarizes a recently developed continuum theory for the elastic-viscoplastic deformation of amorphous solids such as polymeric and metallic glasses. Introducing an internal-state variable that represents the local free-volume associated with certain metastable states, we are able to capture the highly non-linear stress-strain behavior that precedes the yield-peak and gives rise to post-yield strain-softening. Our theory explicitly accounts for the dependence of the Helmholtz free energy on the plastic deformation in a thermodynamically consistent manner. This dependence leads directly to a backstress in the underlying flow rule, and allows us to model the rapid strain-hardening response after the initial yield-drop in monotonic deformations, as well as the Bauschinger-type reverse-yielding phenomena typically observed in amorphous polymeric solids upon unloading after large plastic deformations. We have implemented a special set of constitutive equations resulting from the general theory in a finite-element computer program. Using this finite-element program, we apply the specialized equations to model the large-deformation response of the amorphous polymeric solid polycarbonate, at ambient temperature and pressure. We show numerical results to some representative problems, and compare them against corresponding results from physical experiments. Singapore-MIT Alliance (SMA) 2003-11-10T19:24:07Z 2003-11-10T19:24:07Z 2003-01 Article http://hdl.handle.net/1721.1/3660 en_US Advanced Materials for Micro- and Nano-Systems (AMMNS); 211086 bytes application/pdf application/pdf |
| spellingShingle | amorphous solids metallic glasses plasticity polymeric glasses Anand, Lallit A continuum theory of amorphous solids undergoing large deformations, with application to polymeric glasses |
| title | A continuum theory of amorphous solids undergoing large deformations, with application to polymeric glasses |
| title_full | A continuum theory of amorphous solids undergoing large deformations, with application to polymeric glasses |
| title_fullStr | A continuum theory of amorphous solids undergoing large deformations, with application to polymeric glasses |
| title_full_unstemmed | A continuum theory of amorphous solids undergoing large deformations, with application to polymeric glasses |
| title_short | A continuum theory of amorphous solids undergoing large deformations, with application to polymeric glasses |
| title_sort | continuum theory of amorphous solids undergoing large deformations with application to polymeric glasses |
| topic | amorphous solids metallic glasses plasticity polymeric glasses |
| url | http://hdl.handle.net/1721.1/3660 |
| work_keys_str_mv | AT anandlallit acontinuumtheoryofamorphoussolidsundergoinglargedeformationswithapplicationtopolymericglasses AT anandlallit continuumtheoryofamorphoussolidsundergoinglargedeformationswithapplicationtopolymericglasses |