Anais do Seminário de Laminação, Conformação de Metais e Produtos


ISSN 2594-5297

Título

MODELO TERMOMICROESTRUTURAL PARA CÁLCULO DA TEMPERATURA DE LAMINAÇÃO, DO TAMANHO DE GRÃO E FRAÇÃO DE RECRISTALIZAÇÃO EM AÇOS AO CARBONO

THERMOMICROSTRUCTURAL MODEL FOR CALCULATE THE ROLLING MILL TEMPERATURE, GRAIN SIZE AND RECRYSTALLIZATION IN CARBON STEELS

DOI

10.5151/2594-5297-17612

Downloads

95 Downloads

Resumo

O controle das variáveis do processo de laminação a quente é de fundamental importância para predizer as propriedades mecânicas e metalúrgicas do aço. Buscando esse domínio, foi realizado um modelamento matemático para determinar a força de laminação e a temperatura para cada cadeira de laminação e também outras variáveis do processo, como recristalização estática, dinâmica, tempo entre passes, velocidade de saída do material, deformação, taxa de deformação entre outras, sem haver a necessidade de se fornecer dados de força e de temperatura por parte da indústria. O modelo mostrou boa concordância com os dados industriais obtidos da literatura.

 

The control of process variables of hot rolling is a great importance to predict the mechanical and metallurgical properties of steel. Searching this knowledge, it was developed a mathematical modeling for determinate the roll force and temperature for each stand as well as other process variables, as a static and dynamic recrystallization, time between passes, the exit speed of the material, strain rate and others, without provide roll force and temperature data from industry. The model showed good agreement with industrial data from literature

Palavras-chave

Modelo microestrutural; Laminação de tiras a quente; Carga de laminação; Modelo térmico.

Microstructural model; Hot strip mill; Roll force; Thermal model.

Como citar

Machado, Marcelo Lucas Pereira; David, Sayd Farage; David, Felipe Farage. MODELO TERMOMICROESTRUTURAL PARA CÁLCULO DA TEMPERATURA DE LAMINAÇÃO, DO TAMANHO DE GRÃO E FRAÇÃO DE RECRISTALIZAÇÃO EM AÇOS AO CARBONO , p. 804-814. In: 47º Seminário de Laminação Processos e Produtos Laminados e Revestidos, Belo Horizonte, MG, 2010.
ISSN: 2594-5297 , DOI 10.5151/2594-5297-17612

Whoops, looks like something went wrong.

(1/1) ErrorException

fwrite(): write of 1826 bytes failed with errno=28 No space left on device

in StreamHandler.php line 131
at HandleExceptions->handleError(8, 'fwrite(): write of 1826 bytes failed with errno=28 No space left on device', '/var/www/webroot/ROOT/vendor/monolog/monolog/src/Monolog/Handler/StreamHandler.php', 131, array('stream' => resource, 'record' => array('message' => 'file_put_contents(): write of 387 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-30 17:23:49] production.ERROR: file_put_contents(): write of 387 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 387 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'AontvIT6VxfExf2...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} ')))
at fwrite(resource, '[2025-05-30 17:23:49] production.ERROR: file_put_contents(): write of 387 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 387 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'AontvIT6VxfExf2...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} ')in StreamHandler.php line 131
at StreamHandler->streamWrite(resource, array('message' => 'file_put_contents(): write of 387 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-30 17:23:49] production.ERROR: file_put_contents(): write of 387 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 387 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'AontvIT6VxfExf2...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} '))in StreamHandler.php line 117
at StreamHandler->write(array('message' => 'file_put_contents(): write of 387 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-30 17:23:49] production.ERROR: file_put_contents(): write of 387 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 387 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'AontvIT6VxfExf2...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} '))in AbstractProcessingHandler.php line 39
at AbstractProcessingHandler->handle(array('message' => 'file_put_contents(): write of 387 bytes failed with errno=28 No space left on device', 'context' => array('exception' => object(ErrorException)), 'level' => 400, 'level_name' => 'ERROR', 'channel' => 'production', 'datetime' => object(DateTime), 'extra' => array(), 'formatted' => '[2025-05-30 17:23:49] production.ERROR: file_put_contents(): write of 387 bytes failed with errno=28 No space left on device {"exception":"[object] (ErrorException(code: 0): file_put_contents(): write of 387 bytes failed with errno=28 No space left on device at /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:122)[stacktrace]#0 [internal function]: Illuminate\\\\Foundation\\\\Bootstrap\\\\HandleExceptions->handleError(8, \'file_put_conten...\', \'/var/www/webroo...\', 122, Array)#1 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php(122): file_put_contents(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', 2)#2 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/FileSessionHandler.php(83): Illuminate\\\\Filesystem\\\\Filesystem->put(\'/var/www/webroo...\', \'a:5:{s:6:\\"_toke...\', true)#3 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Store.php(128): Illuminate\\\\Session\\\\FileSessionHandler->write(\'AontvIT6VxfExf2...\', \'a:5:{s:6:\\"_toke...\')#4 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Session/Middleware/StartSession.php(87): Illuminate\\\\Session\\\\Store->save()#5 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(218): Illuminate\\\\Session\\\\Middleware\\\\StartSession->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#6 /var/www/webroot/ROOT/vendor/laravel/framework/src/Illuminate/Foundation/Http/Kernel.php(189): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminateMiddleware(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#7 /var/www/webroot/ROOT/public/index.php(59): Illuminate\\\\Foundation\\\\Http\\\\Kernel->terminate(Object(Illuminate\\\\Http\\\\Request), Object(Illuminate\\\\Http\\\\Response))#8 {main}"} '))in Logger.php line 344
at Logger->addRecord(400, 'file_put_contents(): write of 387 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Logger.php line 707
at Logger->error('file_put_contents(): write of 387 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Writer.php line 203
at Writer->writeLog('error', 'file_put_contents(): write of 387 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Writer.php line 114
at Writer->error('file_put_contents(): write of 387 bytes failed with errno=28 No space left on device', array('exception' => object(ErrorException)))in Handler.php line 113
at Handler->report(object(ErrorException))in Handler.php line 100
at Handler->report(object(ErrorException))in HandleExceptions.php line 81
at HandleExceptions->handleException(object(ErrorException))