{"id":3782,"date":"2019-02-20T18:10:58","date_gmt":"2019-02-20T18:10:58","guid":{"rendered":"https:\/\/nau.edu\/mechanical-engineering-new\/?page_id=3782"},"modified":"2024-11-07T09:41:56","modified_gmt":"2024-11-07T16:41:56","slug":"solid-mechanics","status":"publish","type":"page","link":"https:\/\/in.nau.edu\/mechanical-engineering\/solid-mechanics\/","title":{"rendered":"Solid Mechanics"},"content":{"rendered":"<h1>Solid mechanics research<\/h1>\n<h2>NAU Mechanical Engineering research projects<\/h2>\n<p>Our research in solid mechanics includes a variety of techniques (experimental, computational, and theoretical) and materials (polymers, metals, composites, magnetically active materials, biomaterials). Details on some of our research projects in solid mechanics are described below. Please contact the lead faculty to learn more about any of our research projects.<\/p>\n<h3>Project abstracts<\/h3>\n<!-- shortcode-accordion -->\n<div class=\"shortcode-accordion shortcode-accordion--closed\" style=\"position: relative;\" >\n        <a class=\"shortcode-accordion__trigger\" data-header=\"Multifunctional Carbon Fiber Composites_0\" href=\"#\">\n      <div class=\"shortcode-accordion__header\">\n          <h4>Multifunctional Carbon Fiber Composites <span class=\"screen-reader-text\">Accordion Closed<\/span><\/h4>\n          <span class=\"shortcode-accordion__header__arrow\"><\/span>\n      <\/div>\n    <\/a>\n    <div class=\"shortcode-accordion__body\">\n        <!DOCTYPE html PUBLIC \"-\/\/W3C\/\/DTD HTML 4.0 Transitional\/\/EN\" \"http:\/\/www.w3.org\/TR\/REC-html40\/loose.dtd\">\n<html><body>\n<p><strong>Lead: <a href=\"https:\/\/directory.nau.edu\/departments?id=10640&amp;person=cc458\">Cornel Ciocanel<\/a>&nbsp;<\/strong><br>\n<strong>Keywords:<\/strong> <em>Power storage, supercapacitor, lightweight, structural<\/em><\/p>\n<div class='shortcode-column-container'><!-- shortcode-column -->\n<div class=\"shortcode-column shortcode-column--count-2\">\n    \n<p>This research is focused on the development of a carbon fiber based composite material with power storage capability. Embedding supercapacitor-like power storage in structural components facilitates weight and volume reduction, as well as extended operation, for electrically powered systems (e.g. UAVs, laptop, phones, etc.).<\/p>\n\n<\/div>\n\n<!-- shortcode-column -->\n<div class=\"shortcode-column shortcode-column--count-2\">\n    \n<h2><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3551\" src=\"https:\/\/in.nau.edu\/mechanical-engineering\/wp-content\/uploads\/sites\/301\/2019\/02\/Poza-supercap-project-200x300.jpg\" alt=\"photo of Multifunctional Carbon Fiber Composites in nau mechanical engineering research\" width=\"165\" height=\"248\" srcset=\"https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Poza-supercap-project-200x300.jpg 200w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Poza-supercap-project-683x1024.jpg 683w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Poza-supercap-project-150x225.jpg 150w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Poza-supercap-project-300x450.jpg 300w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Poza-supercap-project-400x600.jpg 400w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Poza-supercap-project.jpg 730w\" sizes=\"auto, (max-width: 165px) 100vw, 165px\" \/><\/h2>\n\n<\/div>\n<\/div>\n<\/body><\/html>\n\n    <\/div>\n<\/div>\n<!-- shortcode-accordion -->\n<div class=\"shortcode-accordion shortcode-accordion--closed\" style=\"position: relative;\" >\n        <a class=\"shortcode-accordion__trigger\" data-header=\"Fracture magneto-mechanics of Ni-Mn-Ga_0\" href=\"#\">\n      <div class=\"shortcode-accordion__header\">\n          <h4>Fracture magneto-mechanics of Ni-Mn-Ga <span class=\"screen-reader-text\">Accordion Closed<\/span><\/h4>\n          <span class=\"shortcode-accordion__header__arrow\"><\/span>\n      <\/div>\n    <\/a>\n    <div class=\"shortcode-accordion__body\">\n        <!DOCTYPE html PUBLIC \"-\/\/W3C\/\/DTD HTML 4.0 Transitional\/\/EN\" \"http:\/\/www.w3.org\/TR\/REC-html40\/loose.dtd\">\n<html><body>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-3552 \" src=\"https:\/\/in.nau.edu\/mechanical-engineering\/wp-content\/uploads\/sites\/301\/2019\/02\/Poza-MSMA-fracture1-e1550075273574-300x107.jpg\" alt=\"Fracture magneto-mechanics of Ni-Mn-Ga \" width=\"311\" height=\"111\" srcset=\"https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Poza-MSMA-fracture1-e1550075273574-300x107.jpg 300w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Poza-MSMA-fracture1-e1550075273574.jpg 426w\" sizes=\"auto, (max-width: 311px) 100vw, 311px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Lead: <a href=\"https:\/\/directory.nau.edu\/departments?id=10640&amp;person=cc458\">Cornel Ciocanel<\/a>&nbsp;<\/strong><br>\n<strong>Keywords:<\/strong> Fracture toughness, micro-indentation, crack growth<\/p>\n<p>This research is focused on the fracture toughness and rate of crack growth for a Ni-Mn-Ga alloy, contributing to the comprehensive characterization of this relatively new material. The fracture toughness is investigated using micro- and nanoindentation techniques, while the crack growth rate is investigated using the pulsed current potential drop method (DCPD).<\/p>\n<\/body><\/html>\n\n    <\/div>\n<\/div>\n<!-- shortcode-accordion -->\n<div class=\"shortcode-accordion shortcode-accordion--closed\" style=\"position: relative;\" >\n        <a class=\"shortcode-accordion__trigger\" data-header=\"Plastic Deformation_0\" href=\"#\">\n      <div class=\"shortcode-accordion__header\">\n          <h4>Plastic Deformation <span class=\"screen-reader-text\">Accordion Closed<\/span><\/h4>\n          <span class=\"shortcode-accordion__header__arrow\"><\/span>\n      <\/div>\n    <\/a>\n    <div class=\"shortcode-accordion__body\">\n        <!DOCTYPE html PUBLIC \"-\/\/W3C\/\/DTD HTML 4.0 Transitional\/\/EN\" \"http:\/\/www.w3.org\/TR\/REC-html40\/loose.dtd\">\n<html><body>\n<h4><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3544\" src=\"https:\/\/in.nau.edu\/mechanical-engineering\/wp-content\/uploads\/sites\/301\/2019\/02\/Heidi-1-300x289.jpg\" alt=\"photo of plastic deformation\" width=\"219\" height=\"211\" srcset=\"https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Heidi-1-300x289.jpg 300w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Heidi-1.jpg 365w\" sizes=\"auto, (max-width: 219px) 100vw, 219px\" \/><\/h4>\n<p style=\"text-align: left;\"><strong>Lead: <a href=\"https:\/\/directory.nau.edu\/departments?id=10640&amp;person=hf38\">Heidi Feigenbaum<\/a><br>\n<\/strong><strong>Keywords:<\/strong> <em>plastic deformation, metals, cyclic loading<\/em><\/p>\n<p>Plastic deformation occurs when a material is loaded beyond the elastic limit, and it is especially difficult to predict because it is highly non-linear and history dependent. This project uses models for yield surface distortion to try to improve predictions of multi-axial ratcheting, the accumulation of plastic deformation due to cyclic plastic loading. Predicting ratcheting is especially difficult because any small errors in one cycle accumulate over several cycles, and predicting ratcheting is especially important to foresee and prevent material failure in any structure subject to earthquakes, extreme weather, and\/or cyclic mechanical and thermal service conditions.<\/p>\n<\/body><\/html>\n\n    <\/div>\n<\/div>\n<!-- shortcode-accordion -->\n<div class=\"shortcode-accordion shortcode-accordion--closed\" style=\"position: relative;\" >\n        <a class=\"shortcode-accordion__trigger\" data-header=\"Magnetic Shape Memory Alloys_0\" href=\"#\">\n      <div class=\"shortcode-accordion__header\">\n          <h4>Magnetic Shape Memory Alloys <span class=\"screen-reader-text\">Accordion Closed<\/span><\/h4>\n          <span class=\"shortcode-accordion__header__arrow\"><\/span>\n      <\/div>\n    <\/a>\n    <div class=\"shortcode-accordion__body\">\n        <!DOCTYPE html PUBLIC \"-\/\/W3C\/\/DTD HTML 4.0 Transitional\/\/EN\" \"http:\/\/www.w3.org\/TR\/REC-html40\/loose.dtd\">\n<html><body>\n<h4><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3545\" src=\"https:\/\/in.nau.edu\/mechanical-engineering\/wp-content\/uploads\/sites\/301\/2019\/02\/Heidi-2-256x300.png\" alt=\"magnetic shape memory alloys\" width=\"204\" height=\"239\" srcset=\"https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Heidi-2-256x300.png 256w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Heidi-2.png 473w\" sizes=\"auto, (max-width: 204px) 100vw, 204px\" \/><\/h4>\n<p style=\"text-align: left;\"><strong>Lead: <a href=\"https:\/\/directory.nau.edu\/departments?id=10640&amp;person=hf38\">Heidi Feigenbaum<\/a><br>\n<\/strong><strong>Keywords:<\/strong> <em>adaptive materials, magnetic materials, magnetic shape memory alloys<\/em><\/p>\n<p>Magnetic shape memory alloys (MSMAs) can undergo a recoverable deformation in the presence of a magnetic field or mechanical load. In this project, our group has developed several thermodynamic based models to predict the magneto-mechanical behavior of MSMAs, the most recent of which is fully three-dimensional. We are also trying to optimize use of MSMAs for various applications, most notably current work focuses on power harvesting with MSMAs.<\/p>\n<\/body><\/html>\n\n    <\/div>\n<\/div>\n<!-- shortcode-accordion -->\n<div class=\"shortcode-accordion shortcode-accordion--closed\" style=\"position: relative;\" >\n        <a class=\"shortcode-accordion__trigger\" data-header=\"Twisted Polymer Actuators_0\" href=\"#\">\n      <div class=\"shortcode-accordion__header\">\n          <h4>Twisted Polymer Actuators <span class=\"screen-reader-text\">Accordion Closed<\/span><\/h4>\n          <span class=\"shortcode-accordion__header__arrow\"><\/span>\n      <\/div>\n    <\/a>\n    <div class=\"shortcode-accordion__body\">\n        <!DOCTYPE html PUBLIC \"-\/\/W3C\/\/DTD HTML 4.0 Transitional\/\/EN\" \"http:\/\/www.w3.org\/TR\/REC-html40\/loose.dtd\">\n<html><body><p>&nbsp;<\/p>\n\n<h4><strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3547\" src=\"https:\/\/in.nau.edu\/mechanical-engineering\/wp-content\/uploads\/sites\/301\/2019\/02\/Heidi-3-300x258.png\" alt=\"photo of twisted polymer actuators\" width=\"248\" height=\"213\" srcset=\"https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Heidi-3-300x258.png 300w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Heidi-3-600x517.png 600w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Heidi-3.png 635w\" sizes=\"auto, (max-width: 248px) 100vw, 248px\" \/><\/strong><\/h4>\n<p style=\"text-align: left;\"><strong>Lead: <a href=\"https:\/\/directory.nau.edu\/departments?id=10640&amp;person=hf38\">Heidi Feigenbaum<\/a>&nbsp;and <a href=\"https:\/\/directory.nau.edu\/departments?id=10640&amp;person=mws22\">Michael Shafer<\/a><br>\n<\/strong><strong>Keywords:<\/strong><em> biomimetic, artificial muscles, twisted polymer actuators, super coiled<\/em><\/p>\n<p>Artificial muscle systems have the potential to impact industries ranging from advanced prosthesis to miniature robotics. Our research is developing and experimentally validating analytic models of novel, low cost, high power twisted polymer actuators that can serve as artificial muscles. The challenges associated with developing this model include the asymmetric nature of the material, the complex twisted geometry, and temperature and load variations. In addition, we have begun work towards developing new twisted polymer actuators that can serve as artificial muscles and operate more efficiently and quicker than current technologies.<\/p>\n<\/body><\/html>\n\n    <\/div>\n<\/div>\n<!-- shortcode-accordion -->\n<div class=\"shortcode-accordion shortcode-accordion--closed\" style=\"position: relative;\" >\n        <a class=\"shortcode-accordion__trigger\" data-header=\"Periodic Freezing of Water and Melting of Ice in Asphalt as a Porous Medium subject to Diurnal Temperature Oscillations_0\" href=\"#\">\n      <div class=\"shortcode-accordion__header\">\n          <h4>Periodic Freezing of Water and Melting of Ice in Asphalt as a Porous Medium subject to Diurnal Temperature Oscillations <span class=\"screen-reader-text\">Accordion Closed<\/span><\/h4>\n          <span class=\"shortcode-accordion__header__arrow\"><\/span>\n      <\/div>\n    <\/a>\n    <div class=\"shortcode-accordion__body\">\n        <!DOCTYPE html PUBLIC \"-\/\/W3C\/\/DTD HTML 4.0 Transitional\/\/EN\" \"http:\/\/www.w3.org\/TR\/REC-html40\/loose.dtd\">\n<html><body>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3764\" src=\"https:\/\/in.nau.edu\/mechanical-engineering\/wp-content\/uploads\/sites\/301\/2019\/02\/Vadasz-2-300x225.jpg\" alt=\"photo of person out in the snow\" width=\"241\" height=\"181\" srcset=\"https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Vadasz-2-300x225.jpg 300w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Vadasz-2-464x348.jpg 464w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Vadasz-2-232x174.jpg 232w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Vadasz-2-600x450.jpg 600w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/2019\/02\/Vadasz-2.jpg 640w\" sizes=\"auto, (max-width: 241px) 100vw, 241px\" \/><\/p>\n<p><strong>Lead: <a href=\"https:\/\/directory.nau.edu\/departments?id=10640&amp;person=pv9\">Peter Vadasz<\/a><\/strong><br>\n<strong>Keywords<\/strong>:<em> porous medium, asphalt, periodic freezing and melting<\/em><\/p>\n<p>The analysis and solution to a variation of the classical Stefan-Neumann problem of melting and solidification in a porous medium is the topic of this research. The specific novel aspect is the subjecting of the top boundary to periodic freezing and melting conditions and the application of the latter to water saturated asphalt. The anticipated&nbsp;results are that&nbsp;a sequence of chasing fronts from the surface to the interior will emerge.<\/p>\n<\/body><\/html>\n\n    <\/div>\n<\/div>\n\n<!-- shortcode-accordion -->\n<div class=\"shortcode-accordion shortcode-accordion--closed\" style=\"position: relative;\" >\n        <a class=\"shortcode-accordion__trigger\" data-header=\"Machine Learning for Uncertainty Quantification_0\" href=\"#\">\n      <div class=\"shortcode-accordion__header\">\n          <h4>Machine Learning for Uncertainty Quantification <span class=\"screen-reader-text\">Accordion Closed<\/span><\/h4>\n          <span class=\"shortcode-accordion__header__arrow\"><\/span>\n      <\/div>\n    <\/a>\n    <div class=\"shortcode-accordion__body\">\n        <!DOCTYPE html PUBLIC \"-\/\/W3C\/\/DTD HTML 4.0 Transitional\/\/EN\" \"http:\/\/www.w3.org\/TR\/REC-html40\/loose.dtd\">\n<html><body>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5607 \" src=\"https:\/\/in.nau.edu\/mechanical-engineering\/wp-content\/uploads\/sites\/301\/Picture1-464x345.png\" alt=\"neural network model\" width=\"239\" height=\"178\" srcset=\"https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/Picture1-464x345.png 464w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/Picture1-232x174.png 232w\" sizes=\"auto, (max-width: 239px) 100vw, 239px\" \/><\/p>\n<p><strong>Lead:&nbsp;<\/strong><a href=\"https:\/\/directory.nau.edu\/departments?id=10640&amp;person=sd2478\"><strong>Subhayan De<\/strong><\/a><br>\n<strong>Keywords:<\/strong><em> scientific machine learning, neural networks, uncertainty quantification<\/em><\/p>\n<p>Recently, machine learning (ML)-assisted models, such as neural networks, capable of describing some of the complex physical phenomena with good accuracy and reasonable computational cost, are increasingly used in engineering applications. For exercises that involve many realizations of the engineering systems (e.g., uncertainty quantification, design under uncertainty), these ML-assisted models can be exploited to develop physics-based surrogate models that are inexpensive to evaluate once trained but, at the same time, accurate. However, these networks require a large dataset to train. In this research thrust, efficient training of neural networks using smaller datasets for applications to engineering problems is explored.<\/p>\n<\/body><\/html>\n\n    <\/div>\n<\/div>\n\n<!-- shortcode-accordion -->\n<div class=\"shortcode-accordion shortcode-accordion--closed\" style=\"position: relative;\" >\n        <a class=\"shortcode-accordion__trigger\" data-header=\"Design Optimization under Uncertainty_0\" href=\"#\">\n      <div class=\"shortcode-accordion__header\">\n          <h4>Design Optimization under Uncertainty <span class=\"screen-reader-text\">Accordion Closed<\/span><\/h4>\n          <span class=\"shortcode-accordion__header__arrow\"><\/span>\n      <\/div>\n    <\/a>\n    <div class=\"shortcode-accordion__body\">\n        <!DOCTYPE html PUBLIC \"-\/\/W3C\/\/DTD HTML 4.0 Transitional\/\/EN\" \"http:\/\/www.w3.org\/TR\/REC-html40\/loose.dtd\">\n<html><body>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5609 size-uncropped-small\" src=\"https:\/\/in.nau.edu\/mechanical-engineering\/wp-content\/uploads\/sites\/301\/Picture2-300x96.png\" alt=\"bracket design under microstructural uncertainty\" width=\"300\" height=\"96\" srcset=\"https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/Picture2-300x96.png 300w, https:\/\/in.nau.edu\/wp-content\/uploads\/sites\/301\/Picture2.png 436w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Lead:&nbsp;<a href=\"https:\/\/directory.nau.edu\/departments?id=10640&amp;person=sd2478\">Subhayan De<\/a><\/strong><br>\n<strong>Keywords:<\/strong><em> topology optimization, robust design<\/em><\/p>\n<p>In topology optimization (TO), we think about optimally distributing materials inside the structure to satisfy some performance criteria. However, in the presence of uncertainty, achieving a meaningful robust design is computationally burdensome as the number of optimization variables is large in TO. The aim of this research thrust is to develop efficient design methodology and algorithms that can reduce the computational cost of robust and reliability-based optimization while considering uncertainty across multiple scales.<\/p>\n<\/body><\/html>\n\n    <\/div>\n<\/div>\n\n<!-- shortcode-right-column -->\n<div class=\"shortcode-right-column\" >\n    <div class=\"shortcode-right-column__container\">\n<!-- shortcode-contact -->\n<div class=\"shortcode-contact\">\n    <div class=\"contact-header\">\n        <h3>Contact the Mechanical Engineering Department<\/h3>\n    <\/div>\n    <div class=\"contact-body\">\n                <a href=\"mailto:sce@nau.edu\" aria-label=\"Contact the Mechanical Engineering Department: Email Address\" title=\"Email Address\">\n            <div class=\"contact-icon-container\">\n                <i class=\"fas fa-envelope\" aria-hidden=\"true\"><\/i>\n                <span class=\"sr-only\">Email:<\/span>\n            <\/div>\n            <div class=\"contact-email\">sce&#8203;@nau.edu<\/div>\n        <\/a>\n                        <a href=\"tel:928-523-2704\" aria-label=\"Contact the Mechanical Engineering Department: Telephone Number\" title=\"Telephone Number\">\n            <div class=\"contact-icon-container\">\n                <i class=\"fas fa-phone\" aria-hidden=\"true\"><\/i>\n                <span class=\"sr-only\">Call:<\/span>\n            <\/div>\n            <div class=\"contact-phone\">928-523-2704<\/div>\n        <\/a>\n            <\/div>\n<\/div>\n\n\n<\/div>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Solid mechanics research NAU Mechanical Engineering research projects Our research in solid mechanics includes a variety of techniques (experimental, computational, and theoretical) and materials (polymers, metals, composites, magnetically active materials, biomaterials). Details on some of our research projects in solid mechanics are described below. Please contact the lead faculty to learn more about any of [&hellip;]<\/p>\n","protected":false},"author":84,"featured_media":3948,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","_oasis_is_in_workflow":0,"_oasis_original":0,"_oasis_task_priority":"","ring_central_script_selection":"","footnotes":""},"class_list":["post-3782","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/in.nau.edu\/mechanical-engineering\/wp-json\/wp\/v2\/pages\/3782","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/in.nau.edu\/mechanical-engineering\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/in.nau.edu\/mechanical-engineering\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/in.nau.edu\/mechanical-engineering\/wp-json\/wp\/v2\/users\/84"}],"replies":[{"embeddable":true,"href":"https:\/\/in.nau.edu\/mechanical-engineering\/wp-json\/wp\/v2\/comments?post=3782"}],"version-history":[{"count":37,"href":"https:\/\/in.nau.edu\/mechanical-engineering\/wp-json\/wp\/v2\/pages\/3782\/revisions"}],"predecessor-version":[{"id":6203,"href":"https:\/\/in.nau.edu\/mechanical-engineering\/wp-json\/wp\/v2\/pages\/3782\/revisions\/6203"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/in.nau.edu\/mechanical-engineering\/wp-json\/wp\/v2\/media\/3948"}],"wp:attachment":[{"href":"https:\/\/in.nau.edu\/mechanical-engineering\/wp-json\/wp\/v2\/media?parent=3782"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}